Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in runs of up to $300.$ Its cost $($in dollars$)$ for a run of $x$ hockey jerseys is

$)x(300$

Gymnast Clothing sells the jerseys at $$90$ each. Find the revenue function.

$R(x)=$

Find the profit function.

$P(x)=$

What is the minimum number of jerseys that Gymnast Clothing should manufacture to make a profit? $($Round your answer up to the nearest whole number.$)$

jerseys

$3.$ Points$]$

WANEAC$71\mathrm{.}2\mathrm{.}027.$

The Oliver Company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to $5,500$ units in $2005.$ The selling price will be $$5$ per unit. Variable costs are estimated to be $30\%$ of total revenue. Fixed costs are estimated to be $$6,300$ for $2005.$ How many units should the company sell to break even?

units

$4.$ Points$]$

WANEAC$71\mathrm{.}2\mathrm{.}039.$

Equilibrium Price: Cell Phones Worldwide quarterly sales of a brand of cell phones were approximately $q=-p+146$ million phones when the wholesale price was $$p.$

$($a$)$ If the cellphone company was prepared to supply $q=9p-364$ million phones per quarter at a wholesale price of $$p,$ what would have been the equilibrium price?

$

$($b$)$ The actual wholesale price was $$46$ in the fourth quarter of $2004.$ Estimate the projected shortage or surplus at that price.

There is an estimated

$---$Select$---$ hat$()$ of

$$ million phones.