SOLUTION: Rosalie runs a small catering business. She makes and sells homemade combos of two egg rolls, a small macaroni salad, and a drink. The revenue and cost functions of her business a

Question 1172256: Rosalie runs a small catering business. She makes and sells homemade combos of two egg rolls, a
small macaroni salad, and a drink. The revenue and cost functions of her business are given below.
Revenue:
R(x)= -x2 + 24x
Cost:12x + 28
a) Help Rosalie calculate the profit function of her business. (2 marks)
b) Rosalie thinks that selling each combo for $ 7.00 will maximize her profit. Her brother Max believes
that selling each one for $ 5.00 will maximize the profit and her sister Anna says that selling them for
$ 6.00 each will maximize her profit. Who is correct? Show all your calculations.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Rosalie runs a small catering business.
She makes and sells homemade combos of two egg rolls, a small macaroni salad, and a drink.
The revenue and cost functions of her business are given below.
Revenue:
R(x)= -x^2 + 24x
Cost: 12x + 28
:
a) Help Rosalie calculate the profit function of her business.
Profit = Rev - Cost
P(x) = -x^2 + 24x - (12x + 28)
P(x) = -x^2 + 24x - 12x - 28
P(x) = -x^2 + 12x - 28, is the Profit function
:
b) Rosalie thinks that selling each combo for $ 7.00 will maximize her profit. Her brother Max believes
that selling each one for $ 5.00 will maximize the profit and her sister Anna says that selling them for
$ 6.00 each will maximize her profit. Who is correct? Show all your calculations.
The max profit will occur on the axis of symmetry. x = -b/(2a)
x =
x = 6 will maximize profits

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