Appleway Industries produces apple juice and sells it in a competitive market. The firm’s manager must determine how much juice to produce before he knows what the market (competitive) price will be. Economists estimate that there is a 30 percent chance the market price will be $2 per gallon and a 70 percent chance it will be $1 when the juice hits the market. If the firm’s cost function is C = 200 + 0.0005Q2, how much juice should be produced to maximize expected profits? What are the expected profits of Appleway Industries?

The economic analysis division of Mapco Enterprises has estimated the demand function for its line of weed trimmers as QD=18,000+0.4N350PM+90Ps where N=numberofnewhomescompletedintheprimarymarketarea PM=priceoftheMapcotrimmerPS=priceofitscompetitorsSurefiretrimmer In 2010, 15,000 new homes are expected to be completed in the primary market area. Mapco plans to charge $50 for its trimmer. The Surefire trimmer is expected to sell for $55. What sales are forecasted for 2010 under these conditions? If its competitor cuts the price of the Surefire trimmer to $50, what effect will this have on Mapcos sales? What effect would a 30 percent reduction in the number of new homes completed have on Mapcos sales (ignore the impact of the price cut of the Surefire trimmer)?

You are considering entry into a market in which there is currently only one producer (incumbent). If you enter, the incumbent can take one of two strategies, price low or price high. If he prices high, then you expect a $60K profit per year. If he prices low, then you expect $20K loss per year. You should enter if you believe demand is inelastic. you believe the probability that the incumbent will price low is greater than 0.75. you believe the probability that the incumbent will price low is less than 0.75. you believe the market size is growing.