A manufacturer of DVD players has monthly fixed costs of $9500 and variable costs of $55 per unit for one particular model. The company sells this model to dealers for $90 each.

(a) For this model DVD player, write the function for monthly total costs C(x).
C(x) =

(b) Write the function for total revenue R(x).
R(x) =

(c) Write the function for profit P(x).
P(x) =

(d) Find C(240).

C(240) =

(a) C(x) = 9500 + 55x

(b) R(x) = 90x

(c) P(x) = 35x - 9500

(d) C(240) = $22,700

All functions are measured in $.

Explanation:

The total revenue of an entity is a function of the number of units sold and the selling price per unit. The total cost is a function of the fixed cost and the variable cost (which is also a function of the units produced/sold). Profit is a function of sales and cost.

Given that monthly;

fixed costs = $9500

variable costs = $55 per unit

Selling price  = $90 per unit

Where x is the number of units

total costs C(x) in $ = 9500 + 55x

total revenue R(x) in $ = 90x

profit P(x) in $ = 90x - (9500 + 55x)

= 35x - 9500

C(240) = 9500 + 55(240)

= $22,700

1   all nations face the problem of scarcity because there are limited resources and unlimited wants. nations do not have enough factors of production to produce everything that their population wants. entrepreneurial resources initiate businesses to make new goods and services; labor resources produce goods and services.

2 there are four factors of production: natural resources, labor resources, capital resources, and entrepreneurial resources. natural resources are raw materials from nature that are used to produce goods. trees, water, and grains are natural resources. some natural resources, such as wheat and cattle, are renewable

3 wants

things that you do not need to have in order to survive, but would like to have

needs

things that you must have in order to survive

goods

physical products

services

tasks that a business perform for customers

resources

items that people can use to make or obtain what they need or want

determine

to settle or decide by choice of alternatives or possiblities

4 i really dont know