diff --git a/README.md b/README.md
index 8011a23..cfc7a58 100644
--- a/README.md
+++ b/README.md
@@ -30,6 +30,6 @@ Szkielet komponentu Joomla 6 do gromadzenia pytań testowych.
 
 ## Instalacja
 
-W Joomla wybierz **System → Install → Install from Folder** i wskaż ten katalog. Manifestem instalacyjnym jest `com_testquestions.xml` (wersja 1.43.4).
+W Joomla wybierz **System → Install → Install from Folder** i wskaż ten katalog. Manifestem instalacyjnym jest `com_testquestions.xml` (wersja 1.43.5).
 
 Po instalacji komponent jest dostępny w panelu administratora jako **Pytania testowe**.
diff --git a/administrator/components/com_testquestions/language/en-GB/com_testquestions.ini b/administrator/components/com_testquestions/language/en-GB/com_testquestions.ini
index 73d7144..18c7a6f 100644
--- a/administrator/components/com_testquestions/language/en-GB/com_testquestions.ini
+++ b/administrator/components/com_testquestions/language/en-GB/com_testquestions.ini
@@ -67,6 +67,9 @@ COM_TESTQUESTIONS_AI_PROVIDER="Dostawca AI"
 COM_TESTQUESTIONS_AI_API_KEY="Klucz API"
 COM_TESTQUESTIONS_AI_OPENAI_KEY="Klucz API OpenAI"
 COM_TESTQUESTIONS_AI_GROK_KEY="Klucz API Grok"
+COM_TESTQUESTIONS_AI_OPENAI_MODEL="Model OpenAI"
+COM_TESTQUESTIONS_AI_GROK_MODEL="Model Grok"
+COM_TESTQUESTIONS_AI_MODEL_INVALID="Wybierz prawidłowy model dla każdego dostawcy AI."
 COM_TESTQUESTIONS_AI_SETTINGS_MENU="Konfiguracja AI"
 COM_TESTQUESTIONS_AI_SETTINGS_SAVED="Ustawienia AI zapisano."
 COM_TESTQUESTIONS_AI_SAVE_FAILED="Nie udało się zapisać ustawień AI."
diff --git a/administrator/components/com_testquestions/sql/updates/mysql/1.43.5.sql b/administrator/components/com_testquestions/sql/updates/mysql/1.43.5.sql
new file mode 100644
index 0000000..70d72c4
--- /dev/null
+++ b/administrator/components/com_testquestions/sql/updates/mysql/1.43.5.sql
@@ -0,0 +1 @@
+-- No database changes required for version 1.43.5.
diff --git a/administrator/components/com_testquestions/src/Controller/AiController.php b/administrator/components/com_testquestions/src/Controller/AiController.php
index 265442f..d750c84 100644
--- a/administrator/components/com_testquestions/src/Controller/AiController.php
+++ b/administrator/components/com_testquestions/src/Controller/AiController.php
@@ -9,6 +9,7 @@ use Joomla\CMS\Language\Text;
 use Joomla\CMS\MVC\Controller\BaseController;
 use Joomla\CMS\Router\Route;
 use Joomla\CMS\Session\Session;
+use Komponent\Component\Testquestions\Administrator\Service\AiService;
 
 class AiController extends BaseController
 {
@@ -29,6 +30,16 @@ class AiController extends BaseController
             throw new \RuntimeException(Text::_('COM_TESTQUESTIONS_AI_PROVIDER_INVALID'));
         }
 
+        $models = AiService::availableModels();
+        $selectedModels = [];
+        foreach (['openai', 'grok'] as $modelProvider) {
+            $model = $input->post->getCmd('ai_' . $modelProvider . '_model', '');
+            if (!isset($models[$modelProvider][$model])) {
+                throw new \RuntimeException(Text::_('COM_TESTQUESTIONS_AI_MODEL_INVALID'));
+            }
+            $selectedModels[$modelProvider] = $model;
+        }
+
         $db = Factory::getContainer()->get('DatabaseDriver');
         $row = $db->setQuery(
             $db->getQuery(true)
@@ -47,6 +58,9 @@ class AiController extends BaseController
         $legacyKey = trim((string) ($settings['ai_api_key'] ?? ''));
 
         $settings['ai_provider'] = $provider;
+        foreach ($selectedModels as $modelProvider => $model) {
+            $settings['ai_' . $modelProvider . '_model'] = $model;
+        }
         foreach (['openai', 'grok'] as $keyProvider) {
             $fieldName = 'ai_' . $keyProvider . '_api_key';
             $apiKey = trim((string) $input->post->get($fieldName, '', 'RAW'));
diff --git a/administrator/components/com_testquestions/src/Model/ResultModel.php b/administrator/components/com_testquestions/src/Model/ResultModel.php
index 0989532..c549a0b 100644
--- a/administrator/components/com_testquestions/src/Model/ResultModel.php
+++ b/administrator/components/com_testquestions/src/Model/ResultModel.php
@@ -96,6 +96,8 @@ class ResultModel extends BaseDatabaseModel
         $keyName = 'ai_' . $provider . '_api_key';
         $apiKey = trim((string) $params->get($keyName, $params->get('ai_api_key', '')));
         $componentKeyLength = mb_strlen($apiKey);
+        $defaultModels = ['openai' => 'gpt-4.1-mini', 'grok' => 'grok-4.7'];
+        $model = trim((string) $params->get('ai_' . $provider . '_model', $defaultModels[$provider] ?? ''));
 
         // Odczytaj zapisane parametry bezpośrednio z bazy. Dzięki temu nie użyjemy
         // nieaktualnej wartości z pamięci ComponentHelper, a maska pola hasła
@@ -123,6 +125,12 @@ class ResultModel extends BaseDatabaseModel
         $keyName = 'ai_' . $provider . '_api_key';
         $apiKey = trim((string) $params->get($keyName, $params->get('ai_api_key', '')));
         $componentKeyLength = mb_strlen($apiKey);
+        $model = trim((string) (is_array($storedParams)
+            ? ($storedParams['ai_' . $provider . '_model'] ?? $params->get('ai_' . $provider . '_model', $defaultModels[$provider] ?? ''))
+            : $params->get('ai_' . $provider . '_model', $defaultModels[$provider] ?? '')));
+        if ($model === '') {
+            $model = $defaultModels[$provider] ?? '';
+        }
         $storedApiKey = is_array($storedParams)
             ? trim((string) ($storedParams[$keyName] ?? $storedParams['ai_api_key'] ?? ''))
             : '';
@@ -144,6 +152,7 @@ class ResultModel extends BaseDatabaseModel
         $aiResult = (new AiService())->evaluate(
             $provider,
             $apiKey,
+            $model,
             strip_tags((string) $question->question),
             (string) ($answer['selected'] ?? ''),
             (string) $question->answer_open,
diff --git a/administrator/components/com_testquestions/src/Service/AiService.php b/administrator/components/com_testquestions/src/Service/AiService.php
index 0be68c1..2cc084a 100644
--- a/administrator/components/com_testquestions/src/Service/AiService.php
+++ b/administrator/components/com_testquestions/src/Service/AiService.php
@@ -8,13 +8,30 @@ use Joomla\CMS\Http\HttpFactory;
 
 class AiService
 {
-    public function evaluate(string $provider, string $apiKey, string $question, string $answer, string $pattern, int $maxPoints): array
+    public static function availableModels(): array
+    {
+        return [
+            'openai' => [
+                'gpt-4.1-mini' => 'GPT-4.1 mini (starszy)',
+                'gpt-5.6-luna' => 'GPT-5.6 Luna',
+                'gpt-5.6-terra' => 'GPT-5.6 Terra',
+                'gpt-5.6-sol' => 'GPT-5.6 Sol',
+            ],
+            'grok' => [
+                'grok-4.7' => 'Grok 4.7',
+                'grok-4.20' => 'Grok 4.20 Reasoning',
+                'grok-4.20-non-reasoning' => 'Grok 4.20 Non-Reasoning',
+            ],
+        ];
+    }
+
+    public function evaluate(string $provider, string $apiKey, string $model, string $question, string $answer, string $pattern, int $maxPoints): array
     {
         $provider = strtolower(trim($provider));
         $provider = preg_replace('/[^a-z]/', '', $provider);
         $config = $provider === 'grok'
-            ? ['url' => 'https://api.x.ai/v1/responses', 'model' => 'grok-4.7']
-            : ['url' => 'https://api.openai.com/v1/responses', 'model' => 'gpt-4.1-mini'];
+            ? ['url' => 'https://api.x.ai/v1/responses']
+            : ['url' => 'https://api.openai.com/v1/responses'];
 
         if (trim($apiKey) === '') {
             throw new \RuntimeException('AI_NOT_CONFIGURED');
@@ -24,6 +41,10 @@ class AiService
             throw new \RuntimeException('Nieprawidłowy dostawca AI: ' . $provider);
         }
 
+        if (!isset(self::availableModels()[$provider][$model])) {
+            throw new \RuntimeException('Wybrany model AI nie jest obsługiwany.');
+        }
+
         $input = "Oceń odpowiedź ucznia na pytanie otwarte i ustal liczbę uznanych punktów.\n"
             . "Maksymalna liczba punktów za to pytanie: " . max(0, $maxPoints) . ".\n"
             . "Przyznaj liczbę całkowitą od 0 do maksymalnej liczby punktów. Przyznaj punkty proporcjonalnie za poprawne elementy odpowiedzi; pełne punkty za komplet, część punktów za częściową odpowiedź. Nie przekraczaj limitu.\n\n"
@@ -32,11 +53,15 @@ class AiService
             . "Odpowiedź ucznia:\n" . ($answer !== '' ? $answer : 'Brak odpowiedzi') . "\n\n"
             . "Zwróć wyłącznie poprawny obiekt JSON w formacie {\"awarded_points\": liczba_całkowita, \"feedback\": \"krótka ocena po polsku\"}. W ocenie opisz poprawne i brakujące elementy. Nie zmieniaj wzorca odpowiedzi.";
 
-        $payload = json_encode([
-            'model' => $config['model'],
+        $requestData = [
+            'model' => $model,
             'input' => $input,
-            'temperature' => 0.1,
-        ], JSON_UNESCAPED_UNICODE);
+        ];
+        // GPT-5.x reasoning models do not accept a custom temperature.
+        if ($provider === 'grok' || $model === 'gpt-4.1-mini') {
+            $requestData['temperature'] = 0.1;
+        }
+        $payload = json_encode($requestData, JSON_UNESCAPED_UNICODE);
 
         $response = HttpFactory::getHttp()->post(
             $config['url'],
@@ -73,7 +98,11 @@ class AiService
             throw new \RuntimeException('AI zwróciło nieprawidłowy format oceny i punktów.');
         }
 
-        $usage = $this->getUsage($body, $provider, $config['model']);
+        $actualModel = (string) ($body['model'] ?? $model);
+        $usage = $this->getUsage($body, $provider, $model);
+        if ($usage !== null) {
+            $usage['model'] = $actualModel;
+        }
 
         return [
             'awarded_points' => min(max(0, $maxPoints), max(0, (int) $result['awarded_points'])),
@@ -98,9 +127,12 @@ class AiService
         if ($provider === 'grok' && isset($usage['cost_in_usd_ticks']) && is_numeric($usage['cost_in_usd_ticks'])) {
             $cost = (float) $usage['cost_in_usd_ticks'] / 10000000000;
             $costSource = 'provider';
-        } elseif ($provider === 'openai' && $model === 'gpt-4.1-mini') {
+        } elseif ($provider === 'openai' && isset($this->openAiRates()[$model])) {
+            [$inputRate, $cachedRate, $outputRate, $cacheWriteRate] = $this->openAiRates()[$model];
             $uncachedTokens = $inputTokens - $cachedTokens;
-            $cost = ($uncachedTokens * 0.40 + $cachedTokens * 0.10 + $outputTokens * 1.60) / 1000000;
+            $cacheWriteTokens = min($uncachedTokens, max(0, (int) ($usage['input_tokens_details']['cache_write_tokens'] ?? 0)));
+            $uncachedTokens -= $cacheWriteTokens;
+            $cost = ($uncachedTokens * $inputRate + $cachedTokens * $cachedRate + $cacheWriteTokens * $cacheWriteRate + $outputTokens * $outputRate) / 1000000;
             $costSource = 'token_rates';
         }
 
@@ -116,6 +148,16 @@ class AiService
         ];
     }
 
+    private function openAiRates(): array
+    {
+        return [
+            'gpt-4.1-mini' => [0.40, 0.10, 1.60, 0.40],
+            'gpt-5.6-luna' => [0.20, 0.02, 1.20, 0.25],
+            'gpt-5.6-terra' => [2.00, 0.20, 12.00, 2.50],
+            'gpt-5.6-sol' => [4.00, 0.40, 20.00, 5.00],
+        ];
+    }
+
     private function extractText(array $body): string
     {
         if (!empty($body['output_text']) && is_string($body['output_text'])) {
diff --git a/administrator/components/com_testquestions/tmpl/ai/default.php b/administrator/components/com_testquestions/tmpl/ai/default.php
index ee16a4f..d27db32 100644
--- a/administrator/components/com_testquestions/tmpl/ai/default.php
+++ b/administrator/components/com_testquestions/tmpl/ai/default.php
@@ -1,10 +1,13 @@
 <?php defined('_JEXEC') or die; ?>
 <?php use Joomla\CMS\HTML\HTMLHelper; ?>
 <?php use Joomla\CMS\Router\Route; ?>
+<?php $availableModels = \Komponent\Component\Testquestions\Administrator\Service\AiService::availableModels(); ?>
 <?php $provider = (string) ($this->settings['ai_provider'] ?? 'openai'); ?>
 <?php $legacyKey = (string) ($this->settings['ai_api_key'] ?? ''); ?>
 <?php $openaiKey = (string) ($this->settings['ai_openai_api_key'] ?? ($provider === 'openai' ? $legacyKey : '')); ?>
 <?php $grokKey = (string) ($this->settings['ai_grok_api_key'] ?? ($provider === 'grok' ? $legacyKey : '')); ?>
+<?php $openaiModel = (string) ($this->settings['ai_openai_model'] ?? 'gpt-4.1-mini'); ?>
+<?php $grokModel = (string) ($this->settings['ai_grok_model'] ?? 'grok-4.7'); ?>
 <form action="<?php echo Route::_('index.php?option=com_testquestions&view=ai'); ?>" method="post" name="adminForm" id="adminForm">
     <div class="card" style="max-width: 900px;">
         <div class="card-body">
@@ -15,6 +18,14 @@
                     <option value="grok" <?php echo $provider === 'grok' ? 'selected' : ''; ?>>Grok</option>
                 </select>
             </div>
+            <div class="mb-3">
+                <label for="ai-openai-model" class="form-label"><?php echo \Joomla\CMS\Language\Text::_('COM_TESTQUESTIONS_AI_OPENAI_MODEL'); ?></label>
+                <select id="ai-openai-model" name="ai_openai_model" class="form-select" required>
+                    <?php foreach ($availableModels['openai'] as $modelId => $modelLabel) : ?>
+                        <option value="<?php echo htmlspecialchars($modelId, ENT_QUOTES, 'UTF-8'); ?>" <?php echo $openaiModel === $modelId ? 'selected' : ''; ?>><?php echo htmlspecialchars($modelLabel, ENT_QUOTES, 'UTF-8'); ?></option>
+                    <?php endforeach; ?>
+                </select>
+            </div>
             <div class="mb-3">
                 <label for="ai-openai-api-key" class="form-label"><?php echo \Joomla\CMS\Language\Text::_('COM_TESTQUESTIONS_AI_OPENAI_KEY'); ?></label>
                 <div class="input-group">
@@ -35,6 +46,14 @@
                     <?php echo $grokKey !== '' ? 'Zapisany klucz: ' . mb_strlen($grokKey) . ' znaków. Pozostaw pole bez zmian, aby go zachować.' : 'Nie zapisano klucza Grok.'; ?>
                 </small>
             </div>
+            <div class="mb-3">
+                <label for="ai-grok-model" class="form-label"><?php echo \Joomla\CMS\Language\Text::_('COM_TESTQUESTIONS_AI_GROK_MODEL'); ?></label>
+                <select id="ai-grok-model" name="ai_grok_model" class="form-select" required>
+                    <?php foreach ($availableModels['grok'] as $modelId => $modelLabel) : ?>
+                        <option value="<?php echo htmlspecialchars($modelId, ENT_QUOTES, 'UTF-8'); ?>" <?php echo $grokModel === $modelId ? 'selected' : ''; ?>><?php echo htmlspecialchars($modelLabel, ENT_QUOTES, 'UTF-8'); ?></option>
+                    <?php endforeach; ?>
+                </select>
+            </div>
             <button type="submit" class="btn btn-primary" onclick="this.form.task.value='ai.save';">
                 <?php echo \Joomla\CMS\Language\Text::_('JTOOLBAR_SAVE'); ?>
             </button>
diff --git a/com_testquestions.xml b/com_testquestions.xml
index 95ae391..11f8420 100644
--- a/com_testquestions.xml
+++ b/com_testquestions.xml
@@ -4,7 +4,7 @@
     <creationDate>2026-10-14</creationDate>
     <author>Komponent</author>
     <license>GNU General Public License version 2 or later</license>
-    <version>1.43.4</version>
+    <version>1.43.5</version>
     <description>COM_TESTQUESTIONS_DESCRIPTION</description>
     <element>com_testquestions</element>
     <namespace path="src">Komponent\Component\Testquestions</namespace>