Jasmine

The marginal profit in dollars on Brie cheese sold at a cheese store given by P' (x) = x (60x^2 + 30x), where x is the amount of cheese sold, in hundreds of pounds. The "profit" is -$50 when no cheese is sold.

A. Find the profit function.

P(x) = ?

B. Find the profit from selling 400 pounds of Brie Cheese.

The profit from selling 400 pounds of Brie cheese is $____?

Find the cost function if the marginal cost function si given by c'(x) = x^3.4 + 3 and 81 units cost $1,505.

Find the cost function if the marginal cost function is C' (x) = 3x - 6 and the fixed cost is $10.

C (x) = ???

The slope of the tangent to a curve is given by f' (x) = 7x^2+3x-2. If the point (0,1) is on the curve, find an equation of the curve.

F(x) = ?

Find the x-values of all points where the function below has any relative extreme. Find the value(s) of any relative extrema,

f (x) =x^2 + x - 2

A. The function has a relative minimum at the point (s): (type an ordered pair)

B. The function has a relative maximum at the points:(type as an ordered pair)

Suppose the total cost C(x) (in dollars) to manufacture a quantity of x of weed killer (in hundreds of liter) is given by the function C (x) = x^3 - 4x^2 + 8x + 50.

a) Where is C (x) decreasing? Where is C (x) increasing?

Suppose the demand for a certain brand of a product is given by D (p) = (-p ^2/336)+500, where p is the price in dollars. If the price, in items of the cost c, is expressed as P (c) = 4c- 28,find the demand function in terms of the cost.

Find the value of the constant k that makes the function continuous.

g (x) = (2 x ^2- 7x - 15) / ( x - 5)

kx - 7

What does k equal?

f (x) = (x ^ 2 - 64)/ (x - 8)

1. Where is this function discontinuous at?

2. What is the limit?

g^x+2 = 81 ^(3x-3)

Let C(x) be the cost to produce widgets, and let R (x) be the revenue.

R(x) = -x^2 + 8x AND C (x) = 2x+5

(a) Find the minimum break-even quantity.

(b) Find the maximum revenue.

(c) Find the maximum profit.

A product has a production cost function c (x) = 360x + 6300 an a revenue function R (x) = 450x. Find and analyze the break-even quantity, then find the profit function.

A. hat is the break-even quantity?

B. If the company can produce and sell 233 units, should it do so?

C. What is the profit function?

Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cot to produce one T-shirt is $2.50. Her total cost to produce 80 T-shirts is $270, and sells them for $9 each.

A. The linear cost function is C(x)=

B. Joanne must produce and sell ___ t shirts in order to break even.

C. Joanne must produce and sell ___ T-shirts to make a profit of $600.

∫ 7x^6 (x^7 -11) dx =

Use C as the arbitrary constant.

∫ p(p+8)^6 dp

Use C as the arbitrary constant.

From one year to the next, inflation rises from 4 to 5 percent, while unemployment rises from 6 to 7 percent. Which of the following events could be responsible for this change?

A. The central bank increases the growth rate of the money supply.

B. The government cuts spending and raises taxes to reduce the budget deficit.

C. Newly discovered oil reserves cause world oil prices to plummet.

D. The appointment of a new Fed chairman increases expected inflation.

Please help me solve.

Find the area bounded by f (x)= x^2 + 1 and g (x) = 2x - 2 for -1 </ x </ 2.

Public awareness of a congressional candidate before and after a successful campaign was approximated by

P (t) = (8.4t)/(t^2 + 49) +0.1 0</ t </ 24

Where t is the time in months after the campaign started and P (t) is the fraction of the number of people in the congressional district who could recall the candidate's name. What is the average fraction of the number of people who could recall the candidate's name during the first 7 months of the campaign?

A company manufactures x mountain bikes. The research department produced the marginal cost function:

C (x) = 500 - (x/3) 0</ x </900

Where C (x) is in dollars and x is the number of bikes produced per month. Compute the change in monthly cost if the production changes from 100 bikes per month to 600 bikes per month. Set up a definite integral and evaluate it.