3 somewhat similar questions:

A manufacturer has monthly fixed costs of 112000 dollars and a production cost of 11 dollars for each unit produced. The product sells for 21 dollars per unit.

i) The cost function is C(x) = ___________

ii) The revenue function is R (x) = _________

iii) The profit function is P(x) = ___________

iv) Compute the profit (loss) corresponding to a production level of 5780 units: ______ dollars

v) Compute the profit (loss) corresponding to a production level of 14800 units: ________ dollars

Break - even

A company produces a consumer level scanner at a price of 57 dollars per unit and sells it for 64 dollars per unit. The monthly fxed costs inccured by the company are 27097 dollars.

Compute the break even quantity: _________ units

Compute the break-even revenue: ________ dollers per month.

What should be the level in sales in order for the company to realize a 5% profit over the cost of producing the scanners? ______ units. (round your anwser to the nearest integer)

Market equilibrium

The quantity demanded per month of a certain CD burner is 880 when the price is 138 dollars. The quantity demanded per month is 715 when the price is 153 dollars. The suppliers will not market any CD burners when the price is 50 dollars or less. At a unit price of 53 dollars they are willing to make available only 30 units in the market. Under the assumptions that both supply and demand are linear.

i) Find the demand equation: y= ___________

ii) Find the supply equation: y= ___________

iii) Find the Equilibrium price: ______________ dollars

iv) Find the equilibrium quantity: _____________ units