Question

A company is manufacturing ear buds. The number of sets of earbuds they sell, x, and...

A company is manufacturing ear buds. The number of sets of earbuds they sell, x, and the price at which they will sell them, p, are related by the equation 40x^2 = 1200 – 3p^2. How is the number of earbuds they sell changing when x = 2 and the price is increasing at a rate of $0.20 per set of earbuds per week?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The number x of printer cartridges that a store will sell per week and their price...
The number x of printer cartridges that a store will sell per week and their price p (in dollars) are related by the equation x2 = 1620 − 5p2. If the price is falling at the rate of $1 per week, find how the sales will change if the current price is $12.
Suppose that for a company manufacturing​ calculators, the​ cost, revenue, and profit equations are given by...
Suppose that for a company manufacturing​ calculators, the​ cost, revenue, and profit equations are given by C = 90,000 + 40x, R = 300x - x2 /20 , P=R-C where the production output in 1 week is x calculators. If production is increasing at a rate of 600 calculators per week when production output is 4,000 calculators. A) Costs are (increasing/decreasing) at the rate of $_ Per week B) Revenue is (increasing/decreasing) at the rate of $_ C) Profits are...
A company selling widgets has found that the number of items sold, x, depends upon the...
A company selling widgets has found that the number of items sold, x, depends upon the price, p at which they're sold, according the equation x=30000/√5p+1 Due to inflation and increasing health benefit costs, the company has been increasing the price by $2 per month. Find the rate at which revenue is changing when the company is selling widgets at $300 each.
Effect of Price on Supply of Eggs Suppose the wholesale price of a certain brand of...
Effect of Price on Supply of Eggs Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation. 625p2 − x2 =100 If 22000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 3¢/carton/week, at what rate is the supply changing? (Round your answer to the nearest whole number.) (Hint:...
Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related...
Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation. 625p2 − x2 =100 If 32000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 5¢/carton/week, at what rate is the supply changing? (Round your answer to the nearest whole number.) (Hint: To find the value of p when...
1. The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula :...
1. The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula : q = 96e−3p2 + p, where q is the demand in monthly sales and p is the retail price in hundreds of yen. (a) Determine the price elasticity of demand E when the retail price is set at ¥500. (b.) At what price will revenue be a maximum? (c.) Approximately how many paint-by-number sets will be sold per month at the price in part...
an online electronic store sells 600 sets of headphones per month, at an average profit of...
an online electronic store sells 600 sets of headphones per month, at an average profit of 40$ per set. it is estimated that for each 2$ price discount, the store will sell an extra 50 sets each month. 1) let P be the profit and let n be the number of headphone sets that are sold. write P as a function of n. 2) find maximum profit.
Pulsar manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded...
Pulsar manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the equation p = −0.059x + 290 The weekly total cost incurred by Pulsar for producing x sets is C(x) = 0.000006x3 - 0.07x2 + 410x + 69000. (a) Find the revenue function R. R(x) = Find the profit function P. P(x) = .011x2−120x−0.000006x3−69000    (b) Find the marginal cost function C '....
The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q =...
The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 95ep − 3p2/2, where q is the demand in monthly sales and p is the retail price in yen. (a) Determine the price elasticity of demand E when the retail price is set at 4 yen. E = ? The demand is going down by ? % per 1% increase in price at that price level. Thus, a large price decrease is advised. (b)...
A company estimates that it will sell N(x)units of a product after spending $x thousand on...
A company estimates that it will sell N(x)units of a product after spending $x thousand on advertising, as given by: N(x) = -0.25x^4 + 13x^3 - 180x^2 + 10,000. 15<x<24    When is the rate of change of sales increasing and when is it decreasing?   What is the point of diminishing returns and the maximum rate of change of sales?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT