Sara\'s Sensible Critters makes two kinds of catnip toys: balls ( x 1) and mice

Question

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.

Write the appropriate expression for profit.

Question 2 options:

1) Max Z = (p1 - 3)x1 + (p2 - 2)x2 2) Max Z = (p1 + 2)x1 + (p2 + 3)x2 3) Max Z = (p1 - 2)x1 + (p2 - 3)x2 4) Min Z = (p1 - 2)x1 + (p2 - 3)x2

Explanation / Answer

Given

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

Option : C

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