Assume that the company must make at least $1,400$ units of component B$,$ that labor costs are negligible, and that the objective is to maximize profits Speaty the objective lunction and constrants for ge problem.

Objective function: Maximize Z $=294$ A $+17\mathrm{.}2$ B $+17\mathrm{.}05$ C$.($Enter your responses rounded to two decimal places $)$

Constraints $($enter your responses rounded to two decimal places$)$

Machine $1($Cy$)$

$25$A$+20+$

$10$ C

Machine $2($G$,)$

$10$ A $+$

$15$ B $+$

$05$ C

Machine $3($C$3)$

$05$ A $+108+$

$\mathrm{.}15$ C

Material $1($Cy$)$

$32$ A $+268+19$ C

Matenal $2($Cs$)$

$12$ A $+16$B $+9$ C $<=$

$1600$

$1400$

$1500$

$202000$

$85000$

Minimum for product $($C$6)$

B $>=1,400$

Nonnegatvity

A $20,$ B $>=0,$ C $>=0$

b$.$ A linear programming software shows the optimal solution as: B $=1,400$ and C $=0$ What is the oplimal value for A$?$