Formulate and solve the following linear program: A firm wants to determine how many units of each of two products (products A and E) they should produce to make the most money. The profit in the manufacture of a unit of product A is $100 and the profit in the manufacture of a unit of product E is $87. Although the firm can readily sell any amount of either product, it is limited by its total labor hours and total machine hours available. The total labour hours per week are 4,000. Product A takes 5 hours of labour per unit and product E takes 7 hours of labour per unit. The total machine hours are 5,000 per week. Product A takes 9 hours of machine time per unit and product E takes 3 hours of machine time per unit.

Write the Objective Function and Constraints for this problem.
Solve for the best mix of product A and E using Microsoft Excel solver, and

Report the maximum value of the Objective function.
Please provide screen shots or scanned images of your Microsoft Excel Solver Reports.

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step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540