A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.

Question

Mathematics

Pooky

10 February, 02:45

A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.

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Answers (1)

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Nala · Answer 1

Let x = software program

Let y = video game

x < 200; y < 300

x + y < 425

50x; 35y

x = 200; y = 225

50 (200) + 35 (225) = 10,000 + 7,875 = 17,875

x = 125; y = 300

50 (125) + 35 (300) = 6,250 + 10,500 = 16,750

x = 175; y = 250

50 (175) + 35 (250) = 8,750 + 8,750 = 17,500

It is more profitable to maximize production of software program when working within the limits provided.