1. Storm, a company that manufactures bowling equipment and accessories, operates a business location that sells bowling balls. This particular location sells 4000 bowling balls annually. Suppose that it costs $6.00 to store a bowling ball for one year. Also, each bowling ball costs $95.00 to manufacture. Lastly, the Storm company incurs a fixed cost of $270.00 per order for delivering bowling balls to this location. Storm wishes to minimize its inventory cost for this store. Determine a formula for IC(x), the inventory cost function, where x represents the number of bowling balls per order. Completely simplify your answer to receive full credit. Note: You are being asked for the formula only and you are not required to do anything else here.
2. Consider the equation
5x2y4 - 2x3 = x + y + 1
Compute dy/dx by the method of implicit differentiation. Then give the exact value of dy/dx|(1, 1)