Casey’s sprocket, inc.’s short-run cost curve is c= ((25q^2)/k) +15k where q is the number of sprockets produced and k is the number of robot hours casey hires. currently, casey hires 10 robot hours. the short-run marginal cost curve is mc=50(q/k) suppose the sprocket market is perfectly competitive. answer the following questions:

if the market price for a sprocket is $250, what is the profit-maximizing output level for casey’s firm?

assume all fixed costs are sunk. if the market price for a sprocket drops to $50, will casey shut down the firm? why or why not?

The market for corn in country a is highly competitive. at the current market price of $5/bushel there is a shortage of 100,000 bushels of corn in this country. media reports claim that the price of corn will rise drastically in the near future. according to these reports, the neighboring country b had witnessed a similar situation recently. at the same price, the shortage in country b was also 100,000 bushels and eventually the equilibrium price in b went up to $10/bushel. both countries are known to have equal number of corn producers and the market supply of corn is identical at all prices. this, combined with the fact that consumers in the two countries also have similar tastes and preferences, led the media to conclude that the price of corn in country a would soon be as high as $10/bushel. the new equilibrium price turns out to be below $10/bushel, what inferences can be drawn?

Match the situations that will develop one's personality and those that won't peter is surrounded by friends who are always encouraging him jonathan always watches television when he wants to take a break from his books libby sets small targets for herself and strives to achieve them. the smiths indulge in an animated discussion on varied topics every evening after dinner. brook loves junk food and exercises once in a while. develops your personality develops doesn't develop your personality

Which of the following describes a situation in which there would be decreasing marginal utility? a. buying only necessities. b. buying a car to substitute for riding the bus. c. buying food in bulk to save money in the long run. d. buying a second winter coat.