$[-/20$ Points$]$

reservoir capacitors needed by Gulf Coast.

Boston Components, it estimated Boston Components' defective rate to be $10\%.$

the volume given to Able Controls.

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

from Lyshenko Industries.$)$

Min

s$.$t$.$

volume for Boston

volume for Able

volume for Lyshenko

# useful capacitors

Boston relative to Able

Lyshenko minimum

$B,A,L0$

Solve the linear program to determine how many reservoir capacitors should be ordered from each supplier. $($Round your answers to the nearest integer.$)$

Boston Components

Able Controls

capacitors

Lyshenko Industries

$\text{'}$ capacitors

capacitors

$($b$)$ Suppose that the quality level for reservoir capacitors supplied by Boston Components is much better than estimated, with a defective rate of $2\%.$ What effect, if any, would this quality level have?

The optimal solution would change, with Lyshenko Industries being assigned the maximum of $50,000$ reservoir capacitors.

The optimal solution would change, with $30,000$ reservoir capacitors assigned to Boston Components.

The optimal solution would change, with $7,526$ reservoir capacitors assigned to Boston Components.

The optimal solution would remain the same.

$($c$)$ Suppose that management is willing to reconsider their requirement that at least $30,000$ capacitors must be ordered from Lyshenko Industries. What effect, if any, would this consideration have on the solution in part $($a$)?$

The total cost will decrease about $$0\mathrm{.}16$ for every unit the required minimum is reduced by$,$ for at least $25,440$ capacitors

The total cost will decrease about $$0\mathrm{.}22$ for every unit the required minimum is reduced by$,$ for at least $21,106$ capacitors.

The total cost will decrease about $$2\mathrm{.}54$ for every unit the required minimum is reduced by$,$ with no lower limit on how much the required minimum can be reduced.

Reducing the requirement will not change the total cost of obtaining the reservoir capacitors.

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