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Pizzicato Pizza, Inc. finds that the cost to make x pizzas (with one topping) is C = 2x + 210 while the revenue produced from them is R = 12x (C and R are in dollars).11A. Write an equation to represent the profit P where the profit is the revenue minus cost.11B. What is the smallest whole number of pizzas, x, that must be sold for the company to show a profit?

Question

Pizzicato Pizza, Inc. finds that the cost to make x pizzas (with one topping) is C = 2x + 210 while the revenue produced from them is R = 12x (C and R are in dollars).
11A. Write an equation to represent the profit P where the profit is the revenue minus cost.

11B. What is the smallest whole number of pizzas, x, that must be sold for the company to show a profit?

check_circleAnswer
Step 1

It is given that C=2x+210 and R=12x

Step 2

a) Profit = Revenue - Cost

                   = R - C

Plugging in the expressions for R and C we get,

P =  12x-(2x+210)

Simiplifying the expression on the right side, we get

P  = 12x-2x-210

P = 10x-210

Step 3

b) Inorder to make profit, the expression 10x-210 must be greater...

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Math

Algebra

Equations and In-equations

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