13. One way to express revenue is by the number of units sold times the selling

Question

13. One way to express revenue is by the number of units sold times the selling price for each unit. n this example, the number of units sold depends on price (p) and can be written as N(p)- 500 0.20p. Write the function that expresses revenue as a function of price and simplify. a. 50p -0.20p2 b 500-0.40p c. 500p 0.20p2 d. 500-0.20p2 14. Profit is usually expressed as total revenue minus total cost. In this example, the selling price is $60 per unit, the fixed cost is $4500, and the variable cost is $18 per unit. Let x be the number of units made and sold and write the function that expresses profit as a function of x.Simplify the function as much as possible. a. 42x+4500 . 42x-4500 c. 78x-4500 d. 78x+ 4500

Explanation / Answer

13. Revenue = price * number of units

R(p) = p (500-0.20 p ) = 500p - 0.20 p2

Correct option is c

14 .Profit = Revenue - cost

P(x) = 60 x -18x -4500 = 42 x -4500

Correct option is b.

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