Determine the cost function C(x) for this product based on the number of cases, x, that they produce and sell. Simplify if necessary.
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1.A nutrition company has determined that the fixed cost associated with producing cases of its special health bars is $1000. The variable cost is (3/4)x+25 dollars per case that they produce. The selling price of the cases of health bars is 135-(1/4)x per case that they sell.
a. Determine the cost function C(x) for this product based on the number of cases, x, that they produce and sell. Simplify if necessary.
b. Determine the revenue function R(x) for this product based on the number of cases, x, that they produce and sell. Simplify if necessary.
c. The profit that a company makes is the difference between the revenue and the cost. Determine the profit function P(x) for this product.
d. Determine when the company will break even.
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