$***$must be in standard form to be able to enter into QM windows $****$

also, answer for c was given to me but can you explain how it was done. z$=810$; x$1=1600,$ x$2=200$;x$3=200$

Metro Food Services Company delivers fresh sandwiches each morning to vending machines

throughout the city. The company makes three kinds of sandwiches$-$ham and cheese, bolo$-$

gna, and chicken salad. A ham and cheese sandwich requires a worker $0\mathrm{.}45$ minutes to assem$-$

ble, a bologna sandwich requires $0\mathrm{.}41$ minutes, and a chicken salad sandwich requires $0\mathrm{.}50$

minutes to make. The company has $960$ available minutes each night for sandwich assembly.

Vending machine capacity is available for $2,000$ sandwiches each day. The profit for a ham

and cheese sandwich is $$0\mathrm{.}35,$ the profit for a bologna sandwich is $$0\mathrm{.}42,$ and the profit for

a chicken salad sandwich is $$0\mathrm{.}37.$ The company knows from past sales records that its cus$-$

tomers buy as many ham and cheese sandwiches as the other two sandwiches combined, if

not more so$,$ but customers need a variety of sandwiches available, so Metro stocks at least

$200$ of each. Metro management wants to know how many of each sandwich it should stock

to maximize profit.

Formulate a linear programming model for this problem.

Solve the linear programming model formulated in Problem $48$ for Metro Food Services Company

by using the computer.

a$.$ If Metro Food Services could hire another worker and increase its available assembly time by

$480$ minutes or increase its vending machine capacity by $100$ sandwiches, which should it do$?$

Why? How much additional profit would your decision result in$?$

b$.$ What would the effect be on the optimal solution if the requirement that at least $200$ sand$-$

wiches of each kind be stocked was eliminated? Compare the profit between the optimal

solution and this solution. Which solution would you recommend?

c$.$ What would the effect be on the optimal solution if the profit for a ham and cheese sandwich

was increased to $$0\mathrm{.}40?$ To $$0\mathrm{.}45?$ New

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INSTRUCTION: Iteration $7.$

Objective

Maximize

Minimize

Linear Programming Results $($untitled$)$ Solution

$\backslash$table$[[,$X$1,$X$2,$X$3,,$RHS$,$Dual$],[$Maximize$,\mathrm{.}35,\mathrm{.}42,\mathrm{.}37,,,],[$Constraint Constraint Constraint Constraint $4,1,0,0,>=,200,0],[$Constraint $5,0,1,0,>=,200,0],[$Constraint $6,0,0,1,>=,200,-\mathrm{.}05],[$Solution$->,1000,800,200,,760,]]$

Metro Food Services Company delivers fresh sandwiches each morning to vending machines

throughout the city. The company makes three kinds of sandwiches$-$ham and cheese, bolo$-$

gna, and chicken salad. A ham and cheese sandwich requires a worker $0\mathrm{.}45$ minutes to assem$-$

ble, a bologna sandwich requires $0\mathrm{.}41$ minutes, and a chicken salad sandwich requires $0\mathrm{.}50$

minutes to make. The company has $960$ available minutes each night for sandwich assembly.

Vending machine capacity is available for $2,000$ sandwiches each day. The profit for a ham

and cheese sandwich is $$0\mathrm{.}35,$ the profit for a bologna sandwich is $$0\mathrm{.}42,$ and the profit for

a chicken salad sandwich is $$0\mathrm{.}37.$ The company knows from past sales records that its cus$-$

tomers buy as many ham and cheese sandwiches as the other two sandwiches combined, if

not more so$,$ but customers need a variety of sandwiches available, so Metro stocks at least

$200$ of each. Metro management wants to know how many of each sandwich it should stock

to maximize profit.

Formulate a linear programming model for this problem.

Solve the linear programming model formulated in Problem $48$ for Metro Food Services Company

by using the computer.

a$.$ If Metro Food Services could hire another worker and increase its available assembly time by

$480$ minutes or increase its vending machine capacity by $100$ sandwiches, which should it do$?$

Why? How much additional profit would your decision result in$?$

b$.$ What would the effect be on the optimal solution if the requirement that at least $200$ sand$-$

wiches of each kind be stocked was eliminated? Compare the profit between the optimal

solution and this solution. Which solution would you recommend?

c$.$ What would the effect be on the optimal solution if the profit for a ham and cheese sandwich

was increased to $$0\mathrm{.}40?$ To $$0\mathrm{.}45?$