Acompany has fixed monthly costs of $130,000 and production costs on its product of $32 per unit. the company sells its product for $66 per unit. the cost function, revenue function and profit function for this situation are a)c(x) = 32x+ 13 ; r(x) = 66x; p(x) = 34x+ 13b)c(x) = 66x+ 10858 ; r(x) = x+ 13 ; p(x) = − 34x+ 13c)c(x) = 32x+ 13 ; r(x) = 66x; p(x) = 34x− 13d)c(x) = 66x; r(x) = 32x+ 13 ; p(x) = − 34x+ 13e)c(x) = 32x− 13 ; r(x) = 66x; p(x) = 34x− 13

The cost function is .

The revenue function is .

The profit function is .

Step-by-step explanation:

We have the following definitions:

The cost function is a mathematical formula that gives the total cost to produce a certain number of units. It consists of variable costs and fixed costs and is given by

If units are sold and the price per unit is , then the total revenue is

and is called the revenue function.

If units are sold, then the total profit is

and is called the profit function.

Applying the above definitions we get that:

We know that the company has fixed monthly costs of $130,000 and production costs on its product of $32 per unit.

Therefore,

The cost function is .

We know that the company sells its product for $66 per unit.

Therefore,

The revenue function is .

The profit function is

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x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x