A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x) = 50x , where x is the number of units produced. 5 x- te (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $23,000 to produce 5 units. Should they seek this new source? (a) What substitution should be used to determine the cost function? Use the quantity as the substitution, u = | |, so that du = (|) dx under a root raised to an integer power in the denominator in an exponent