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Computer software S and hardware H are complementary products used to produce computer services. Customers make a one-time purchase of hardware but buy various amounts of software. The market for software is perfectly competitive whereas there is a single monopoly firm, HAL, selling hardware. Demand for software services is given by Q=18-p for a high demand consumer and Q=12-p for a low demand consumer. Suppose that there are 500 high demand consumers and 1000 low demand consumers. The marginal cost of producing software is $2 whereas the marginal cost of producing hardware is $50. (a) What price will HAL set for hardware faced with a perfectly competitive software market? (b) Can HAL do better by branding software and only allowing its hardware to use its own software if it sells software and hardware separately and offers one price for each. (c) Can HAL do better if it offers a different branding and pricing strategy? Suppose that you are a consultant and are asked to provide a strategy. What would you suggest