Question

solve a real worldproblem. (1 point each)11. A company's cost, in dollars, of manufacturing x tablot computers can be represented by 20% + 200, Thecompany's predicted revenue of selling x tablet computers is 100 + 30%. Write a polynomial expression thatrepresents the pront of selling x tablets. Simplity as much as possible (profitrovenue - cost)12. If the company selle 100 computers, how much pront will the company make?

Answer 1

Step-by-step explanation:

11) The function representing the cost of production = 20x + 200

let th cost = C(x)

C(x) = 20x + 200

The function representing revenue from the production = 100 + 30x

let the revenue = R(x)

R(x) = 100 + 30x

The formula for profit = revenue - cost

let profit = P(x)

P(x) = R(x) - C(x)

P(x) = 100 + 30x - (20x + 200)

expanding th parenthesis:

P(x) = 100 + 30x - 20x - 200 = 100 - 200 + 30x - 20x

P(x) = 10x - 100

The polynomial expression that represents the profit of selling x tablets:

P(x) = 10x - 100

12) company sells 100 computers

x = 100

P(x) = 10x - 100

we will substitute for x in the function above:

P(x) = 10(100) - 100 = 1000 - 100

P(x) = 900

The company will make $900 as profit for 100 tablet computers