A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p= 75 - 0. 1D (D is the demand or quantity sold per month and p is the price in dollars). The fixed

cost is $1,000 per month and the variable cost is $30 per unit produced.

a. What is the maximum profit per month for this product?

b. What is the range of profitable demand during a month?

a. The maximum profit per month for this product is $?. (Round to the nearest dollar.)

b. The range of profitable demand during a month is from ? units to units ? (Round up the lower limit and down the upper limit to the nearest whole number.)