$P_1,P_2,P_{3}0$ and integer

$($b$)$ Solve the linear program formulated in part $($a$).$ How much of each product should be produced, and what is the projected total profit contribution?

$\backslash$table$[[$Product $1$ Product $2$ Product $3],[$Amount to Produce$]]$

Profit $5$

$($c$)$ After evaluating the solution obtained in part $($b$),$ one of the production supervisors noted that production setup costs had not been taken into account. The supervisor noted that setup costs solution developed in part $($b$)$ is to be used, what is the total profit contribution after taking into account the setup costs? S

$($e$)$ Solve the mixed$-$integer linear program formulated in part $($d$).$ How much of each product should be produced and what is the projected total profit contribution? Compare this profit contribution to If required, round your answers to nearest whol

Product $1$ Product $2$ Product $3$

Amount to Produce

Updated Profit $5$

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