A manufacturer of cell phones makes a profit of $24 on a deluxe model and $30 on a standard model. The company wishes to produce at least 80 deluxe models and at least 100 standard models per day. To maintain high quality, the daily production should not exceed 200 phones. How many of each type should be produced daily in order to maximize the profit?

Question

Quizplus · Accepted Answer

To maximize profit while meeting the production constraints, linear programming can be used. The constraints are at least 80 deluxe models and at least 100 standard models, with a total not exceeding 200 phones daily. The profit function to maximize is $24 per deluxe model plus $30 per standard model. Without solving the entire linear programming problem here, choice A, 120 standard and 80 deluxe, fits within the constraints and suggests a high-profit mix given the profit rates and constraints provided.

A Manufacturer of Cell Phones Makes a Profit of $24