Math

AlgebraQ&A LibraryThe price p, in dollars, of a certain commodity and the quantity x sold obey the demandequation p = −1/5x + 200 where 0 ≤ x ≤ 1000Suppose that the cost C, in dollars, of producing x units is C =√x/10+ 400Assuming that all items produced are sold, find the cost C as a function of the price p.(ii)The profit function, in dollars, for a product is given byΠ(x) = −x^3 + 76x^2 − 380x − 2800,where x is the number of units produced and sold. If break-even occurs when 10 units areproduced and sold,(a) Find a quadratic factor of Π(x).(b) Find a number of units other than 10 that gives break-even for the product.Question

Asked Mar 16, 2020

31 views

The price p, in dollars, of a certain commodity and the quantity x sold obey the demand

equation p = −1/5x + 200 where 0 ≤ x ≤ 1000

Suppose that the cost C, in dollars, of producing x units is C =√x/10+ 400

Assuming that all items produced are sold, find the cost C as a function of the price p.

(ii)

The profit function, in dollars, for a product is given by

Π(x) = −x^3 + 76x^2 − 380x − 2800,

where x is the number of units produced and sold. If break-even occurs when 10 units are

produced and sold,

(a) Find a quadratic factor of Π(x).

(b) Find a number of units other than 10 that gives break-even for the product.

Step 1

Hi there! Thank you for the question, but as per our guidelines we can solve only one question at a time. We’ll answer the first question for you. Please submit a new question specifying the one you would like to get answered.

Step 2

Consider the demand equation

p = −1/5x + 200 where 0 ≤ x ≤ 1000

Step 3

Solve for x as a function of p

...Find answers to questions asked by student like you

Show more Q&A

Q: As part of his flight trainging, a student pilot was required to fly to an airportand then return. T...

A: Let the distance is = x miles We will use the formula: time=distance/speed While going speed= 90 m...

Q: Solve: p + q + r = 1p + 2q + 3r = 44p +5q + 6r =7

A: Click to see the answer

Q: Solve by substitution: 2x + y = 23x + 7y = 14

A: Click to see the answer

Q: Solve graphically: 16 = − x − 4y− 2x = − 4 − 4y

A: We graph 16 = − x − 4y and − 2x = − 4 − 4y on the same window

Q: Solve for x and y : y +4= 3x2y − 6x = − 8

A: The given system of linear equations are,

Q: Use the intermediate value theorem to show that f(x) = x^4 + 8x^3 −x^2 + 2 has a zero in I = [−1, 0]...

A: Given,

Q: A and B start toward each other at the same time from points 150 miles apart. If A went at the rate ...

A: Click to see the answer

Q: (i) Eight thousand dollars has to be invested for 10 years. For each option below, calculatethe bala...

A: Click to see the answer

Q: Solve: 2x3y5z · 5xy2z3

A: The given expression is