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29 January, 05:45

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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  1. 29 January, 08:53
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    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
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