Find expressions for marginal revenue in the case when the demand equation is given by 1000 (a) P= v(100 – 2Q) (b) P = (2 + Q)

Suppose that a demand function is given by q = D(p) = 20(7 - ((p) with superscript (2)/square root of ((p) with superscript (3) + 1))) , where q is the demand for a product and p is the price per unit in dollars. Find the rate of change in the demand for the product per unit change in price. a.(dq/dp) = (-20(p) with superscript (4) + 80p/(((p) with superscript (3) + 1)) with superscript (1/2)) b.(dq/dp) = (10(p) with superscript (4) - 40p/ (((p) with superscript (3) + 1)) with superscript (3/2) ) c.(dq/dp) = (-10(p) with superscript (4) - 40p/ (((p) with superscript (3) + 1)) with superscript (1/2) ) d.(dq/dp) = (-10(p) with superscript (4) - 40p/ (((p) with superscript (3) + 1)) with superscript (3/2) )

If the marginal revenue for ski gloves is MR function. R(x) = - 12 (2x + 5)² + 20 and R(0) = 0, find the revenue

Question #7 - A company sells 60 units a year. The profit function for "X" units is P(x)=-.006x³-0.2x² +900x-1200. A) What is the marginal profit from raising the sales goal at 60 units? B) Is it a good idea to raise the sales goal from 60 to 61? Why?