Sara's Sensible Critters makes two kinds of catnip toys: balls (x1) and mice (x2). The relationship between demand and price for balls and mice is: x1 = 1800 - 150p1 x2 = 1500 - 300p2 The cost for a catnip ball is $2 and for the mouse, $3. Sara has only 200 ounces of catnip on hand. A ball uses a tenth of an ounce and a toy mouse uses one-quarter of an ounce. The company wants to determine the optimal level that can maximize the profit. Write the appropriate expression for objective of maximizing profit.

Question

Tamia Clements

Business

27 May, 05:50

Sara's Sensible Critters makes two kinds of catnip toys: balls (x1) and mice (x2). The relationship between demand and price for balls and mice is: x1 = 1800 - 150p1 x2 = 1500 - 300p2 The cost for a catnip ball is $2 and for the mouse, $3. Sara has only 200 ounces of catnip on hand. A ball uses a tenth of an ounce and a toy mouse uses one-quarter of an ounce. The company wants to determine the optimal level that can maximize the profit. Write the appropriate expression for objective of maximizing profit.

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Answers (1)

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Adelyn Stewart · Answer 1

Appropriate expression for profit = MaxZ = (p1-2) x1 + (p2-3) x2

Explanation:

to calculate the appropriate expression for objective of maximizing profit, there's a need to first present our data as seen below

Now given that:

Cost of catnip ball $2

Cost of mouse = $3

Price of catnip ball = p1

Price of mouse = p2

Demand of catnip ball = x1

demand of mouse = x2

Profit of catnip ball = p1-2

Profit of mouse = p2-3

Appropriate expression for profit = MaxZ = (p1-2) x1 + (p2-3) x2