# Math

posted by .

Suppose the quantity demanded per week of a certain dress is related to price by the demand equation p=√75-2x. In order to maximize revenue, how many dresses should be made and sold each week?

• Math -

revenue is price * quantity
r = x*p = x√(75-2x)

I hope this is for a calculus class, because we can now use r' to find the max:

r' = 3(25-x)/√(75-2x)
r'=0 when x = 25

## Similar Questions

1. ### maximizing profit

A manufacture has been selling 1750 television sets a week at \$540 each. A market survey indicates that for each \$14 rebate offered to a buyer, the number of sets sold will increase by 140 per week. a) Find the function representing …
2. ### calculus

suppose the quantity demanded per week of a certain dress is related to the unit price p by the demand equation p=sqrt800-x. write the function that describes the revenue function?
3. ### calculus

the demand for a certain type of auto tire is given by x=f(p) 50(1+e^-p/60). a)if the weekly quantity demanded is 60000 tires find the price?
4. ### calcullus

Suppose the quantity demanded per week of a certain dress is related to price by the demand equation p=√75-2x. In order to maximize revenue, how many dresses should be made and sold each week?
5. ### calc

I have everything right but the last question asking how many cases per week The consumer demand equation for tissues is given by q = (97 − p)2, where p is the price per case of tissues and q is the demand in weekly sales. (a) …
6. ### brief calculus

I have everything right but the last question asking how many cases per week The consumer demand equation for tissues is given by q = (97 − p)^2, where p is the price per case of tissues and q is the demand in weekly sales. (a) …
7. ### Calculus

The consumer demand equation for tissues is given by q = (97 − p)2, where p is the price per case of tissues and q is the demand in weekly sales. (a) Determine the price elasticity of demand E when the price is set at \$26. (Round …
8. ### Math

A manufacture has been selling 1400 television sets a week at \$450 each. A market survey indicates that for each \$14 rebate offered to a buyer, the number of sets sold will increase by 140 per week. a) Find the function representing …
9. ### Math

A manufacture has been selling 1400 television sets a week at \$450 each. A market survey indicates that for each \$14 rebate offered to a buyer, the number of sets sold will increase by 140 per week. a) Find the function representing …
10. ### Calc

A manufacture has been selling 1150 television sets a week at \$510 each. A market survey indicates that for each \$13 rebate offered to a buyer, the number of sets sold will increase by 130 per week. a) Find the function representing …

More Similar Questions