Problem 1 (10 Points) (-2/error)

Do not solve these problemsformulate/define them only

Buckhead Manufacturing Corp. manufactures six products: A, B, C, D, E, & F. Each product requires manufacturing time (labor hours) in four departments (Dept. 1, 2, 3, & 4) as shown below. The maximum labor hours available next week in each department are 1,800 labor hours in Dept. 1; 1,500 labor hours in Dept. 2; 1,320 labor hours in Department 3; 1,400 labor hours in Dept. 4. If Product A is run, $1,100 in total setup cost is incurred. Product B does not require any setup or setup cost. If Product C is run, $2,100 in total setup cost is incurred. If Product D is run, $725 in total setup cost is incurred. If Product E is run, $1,500 in total setup cost is incurred. Product F does not require any setup or setup cost. The gross profit per unit for each product is: A = $125, B = $102, C = $92, D = $79, E = $55, & F = $92. The marketing manager has specified that maximum demand next week for each product is: A = 175, B = 225, C = 110, D = 85, E = 90, & F = 95 based on their forecasts. The marketing manager has dictated that at least 80 units of Product A must be produced to meet an existing order.

The CEO wants to maximize net profit next week.

Labor Hours per Unit

Dept.	Product A	Product B	Product C	Product D	Product E	Product F
1	2.3	2.6	2.7	2.9	1.2	1.1
2	4.5	3.2	2.7	4.2	5.5	2.8
3	5.1	2.6	3.2	3.8	7.1	5.5
4	3.5	4.5	4.9	3.1	5.3	5.1

The CEO wants to maximize net profit next week.

Formulate the model in your document using the headings listed below:

Decision Variables:

Objective Function:

Constraints:

Additional Work for Constraints: