Mimimi company makes three types of cup-cakes- small, medium, and large. Every week, the company is contracted to manufacture at least 50 of each type of cup-cakes for businesses in the same town and has a policy of making least 30 of each type of cupcake/week for its store. Under the current capacity, the company has a limit of 800 labor hours/ week.

Question: What is the optimal number of cup-cakes that the company need to produce each week in order to maximize the profit needed.

The manufacturing information of each cupcake is-

	Small	Medium	Large
Selling price	$20	$12	$10
Variable costs	11	6	10
Labour hours per cake	2.6	1.24	1.73

Question-What is the optimal number of cup-cakes that the company need to produce each week in order to maximize the profit needed.