Your company has asked you to determine the financial risks of manufacturing 6,000 units of a product rather than purchasing them from a vendor at $66.50 per unit. The production line will handle exactly 6,000 units and requires a one-time setup cost of $50,000. The production cost is $60/unit. Your manufacturing personnel inform you that some of the units may be defective, as shown below:
% defective 0 1 2 3 4
probability of occurrence (%) 40 30 20 6 4
Defective items must be removed and replaced at a cost of $145/defective unit. However, 100 percent of units purchased from vendors are defect-free. Construct a payoff table, and using the expected-value model, determine the financial risk and whether the make or buy option is best.

The monthly demand equation for an electric utility company is estimated to be p equals 60 minus left parenthesis 10 superscript negative 5 baseline right parenthesis x, where p is measured in dollars and x is measured in thousands of killowatt-hours. the utility has fixed costs of $3 comma 000 comma 000 per month and variable costs of $32 per 1000 kilowatt-hours of electricity generated, so the cost function is upper c left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 32 x. (a) find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility's profit. (b) suppose that the rising fuel costs increase the utility's variable costs from $32 to $38, so its new cost function is upper c 1 left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 38 x. should the utility pass all this increase of $6 per thousand kilowatt-hours on to the consumers?