Question

At Allied Electronics, production has begun on the X-15 Computer Chip. The total cost function is given by Cyx)- IOx+13 and the total profit function isyP(x) - -0.3x2 + 17x - 13, where x represents the number of boxes of computer chips produced. The total revenue function, R6x),

Answer 1

Given:

Cost function c(x) = I0x+13

Profit Function p(x) = -0.3x² + 47x - 13

Find: revenue function r(x)

Solution:

To solve for the revenue function, simply add the cost and the profit function.

$(10x+13)+(-0.3x^2+47x-13)$

Eliminate the parenthesis.

$10x+13-0.3x^2+47x-13$

Rearrange the terms according to their degree.

$-0.3x^2+47x+10x+13-13$

Combine similar terms.

$-0.3x^2+57x$

Therefore, the revenue function r(x) is -0.3x² + 57x or by commutative property, the revenue function R(x) = 57x - 0.3x². (Option 3).