A company makes a profit of $2 per software program and $3 per video game. The company can produce at most 40 software programs and at most 15 video games per week. Total production cannot exceed 48 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.
to maximize the profit I would need to know how much each cost.
so assuming that they are the same price
first you divide 48 divided by 2 equals 24
The max production is 24 software programs and 24 video games
Let's maximize PROFIT
They should produce as many as they can of the higher profit items obviously
15 video games profit = 15(3) = $45
the rest of their 48 max production should be software (48-15) = 33 softwares
(48-15)2 = $66