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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),

At Allied Electronics production has begun on the X15 Computer Chip The total cost function is given by Cyx IOx13 and the total profit function isyPx 03x2 17x 1 class=

Respuesta :

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.

[tex](10x+13)+(-0.3x^2+47x-13)[/tex]

Eliminate the parenthesis.

[tex]10x+13-0.3x^2+47x-13[/tex]

Rearrange the terms according to their degree.

[tex]-0.3x^2+47x+10x+13-13[/tex]

Combine similar terms.

[tex]-0.3x^2+57x[/tex]

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

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