Problem 1 - Section 3.5 A company can manufacture 15,000 refrigerators when the number of skilled labor y and un- skilled labor x satisfy the equation 384 = (2 + 1) 3/4(y+ 2)1/3 a Find dy Show each step clearly. dx b) Find the rate of change of skilled-labor hours with respect to unskilled-labor hours when x = 255 and y = 214Problem 2 - Section 3.7 Let the demand of a product be given by m = ?) = 30 - 10%? Where p is in dollars and a: is the number of units. a) Find the domain of f (p) b) Find the elasticity of demand. Show all steps for nding the function. c) Find the point at which the demand is unit elastic, in other words, nd when E (p) = 1. Show all the algebra steps. (1) Find the intervals in which the demand is inelastic and in which it is elastic. Hint: use the answer for unit elasticity and use test points on either side