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.

the answer is d

step-by-step explanation:

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1