Jill’s Company produces lawnmowers. It has fixed costs of $1000 per week and Variable costs of $70 per lawn mower.

a) Express the total weekly costs C(x) as a function of the production level x.

Solve:

C(x) = $70(x) - $1000

If Jill can sell her lawnmowers for $150 each,

b) Find the revenue function R(x)

Answer

c) Find the manufactures weekly profit function P (x)

Answer

d) How many lawnmowers must the producer sell per week in order to show profit?

Answer

2. The weekly cost of manufacturing x telephones per week is found by a manufacturer to be C(x) = 500 + 20(x) = x^2 dollars.

a) find the manufacturer's break-even production level(s)

b) for what production levels will the manufacturer experience a profit?

3) A cable television company estimates that with x thousand subscribers, its monthly revenue and cost (in thousands of dollars) are

R(x) =32x - 0.2x^2

Determine the company's break even points.

4) The cost C per unit time, of producing rum cakes for a particular manufacturer, is known to be linearly related to the production level.

That is C = mx + b, where x is the number of rum cakes produced is week, and m and b are constants.

The cost of producing 100 cakes per week is $600.

a)find m and b

b)find the cost of producing 150 cakes per week.

c) what is the manufacturers fixed weekly cost?

5) A microwave maufacturer sells microwaves to a certain retailer for $200

each, plus a handling charge of $75 on each order. The retailer applies a markup of 40% to the total price paid to the manufacturer.

a)find the function C(x), giving the retailers total cost of a single order of x microwaves.

b)show that the fuction R (x), giving the retailer's total revenues from the sale of these x microwaves is R(x) = 280x + 105 dollars.

c) if the retailer sells all these microwaves at the same price, what is the function for the retail price per microwave?

a) Express the total weekly costs C(x) as a function of the production level x.

Solve:

C(x) = $70(x) - $1000

If Jill can sell her lawnmowers for $150 each,

b) Find the revenue function R(x)

Answer

c) Find the manufactures weekly profit function P (x)

Answer

d) How many lawnmowers must the producer sell per week in order to show profit?

Answer

2. The weekly cost of manufacturing x telephones per week is found by a manufacturer to be C(x) = 500 + 20(x) = x^2 dollars.

a) find the manufacturer's break-even production level(s)

b) for what production levels will the manufacturer experience a profit?

3) A cable television company estimates that with x thousand subscribers, its monthly revenue and cost (in thousands of dollars) are

R(x) =32x - 0.2x^2

Determine the company's break even points.

4) The cost C per unit time, of producing rum cakes for a particular manufacturer, is known to be linearly related to the production level.

That is C = mx + b, where x is the number of rum cakes produced is week, and m and b are constants.

The cost of producing 100 cakes per week is $600.

a)find m and b

b)find the cost of producing 150 cakes per week.

c) what is the manufacturers fixed weekly cost?

5) A microwave maufacturer sells microwaves to a certain retailer for $200

each, plus a handling charge of $75 on each order. The retailer applies a markup of 40% to the total price paid to the manufacturer.

a)find the function C(x), giving the retailers total cost of a single order of x microwaves.

b)show that the fuction R (x), giving the retailer's total revenues from the sale of these x microwaves is R(x) = 280x + 105 dollars.

c) if the retailer sells all these microwaves at the same price, what is the function for the retail price per microwave?

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