The cost per capacitor is $$2\mathrm{.}45$ for Boston Components, $$2\mathrm{.}50$ for Able Controls, and $$2\mathrm{.}75$ for Lyshenko Industries.

$($a$)$

Formulate a linear program for determining how many reservoir capacitors should be ordered from each supplier to minimize the total cost of obtaining $75,000$ acceptable$-$quality reservoir capacitors. $($Let B $=$ number of capacitors ordered from Boston Components, A $=$ number of capacitors ordered from Able Controls, and L $=$ number of capacitors ordered from Lyshenko Industries.$)$