Consider the cost function

C(Q) = 1000 + 0.5Q2

for PlexiCo to produce its new Phone. Using that cost function for the Phone, determine the profit-maximizing output, price and profit (or loss) for the PlexiCo Phone, and discuss its long-run implications, under three alternative scenarios:

a. PlexiCo Phone is a perfect substitute with a similar product offered by Apple, Samsung and several other Phones that have similar cost functions and that currently sell for $400 each. Please show how you arrived at the answer.

b. PlexiCo Phone has no substitutes and so is a monopolist, and the demand for the PlexiCo Phone is expected to forever be Q = 69- (1/5)P.Please show how you arrived at the answer.

C(Q) = 400 + 2.5Q2

c. PlexiCo Phone currently has no substitutes, and currently the demand for the PlexiCo Phone is Q = 88 - (1/5)P, but PlexiCo anticipates other firms can develop close substitutes in the future. - note you use the earlier listed cost function.Please show how you arrived at the answer.

C(Q) = 1000 + 0.5Q2