The controller for McGarvey Manufacturing ran regression on the data, and the coefficients shown by the regression program are:

$\backslash$table$[[$Intercept$,15,676($rounded to the nearest dollar$)],[x$ variable $1,8\mathrm{.}03($rounded to the nearest cent$)]]$

$\backslash$table$[[$Month$,$Purchasing Cost,Number of Purchase Orders$],[$January$,$$$19,250,370],[$February$,18,050,330],[$March$,18,020,320],[$April$,18,050,410],[$May$,19,345,400],[$June$,19,500,450],[$July$,19,670,460],[$August$,20,940,560]]$

Required:

Construct the cost formula for the purchasing activity showing the fixed cost and the variable rate.

If McGarvey Manufacturing Company estimates that next month will have $480$ purchase orders, what is the total estimated purchasing cost for that month? $($Round your answer to the nearest dollar.$)$

What if MeGarvey Manufacturing wants to estimate purchasing cost for the coming year and expects $6,000$ purchase orders? What will estimated total purchasing cost be$?($Round your answer to the nearest dollar.$)$ What is the total fixed purchasing cost? Why doesn't it equal the fixed cost calculated in Requirement $1?$