1) Nucor a manufacturing company has received orders for 80metal lockers, 75 desks, 200 Shelves and 25 TV stands for the monthof August. Nucor sells metal lockers for $90 each, shelves for $150each, TV stands for $65 each and desks for $95 each.
Nucor has the option of manufacturing these products in house orpurchasing them from an outside supplier. The associated costs aregiven below
Product | Cost if Manufactured | Cost if purchased |
Locker | 75 | 80 |
Shelf | 125 | 140 |
TV stand | 30 | 45 |
Desk | 48 | 62 |
The company has three types of welding machines: 10 type P, 6type Q and 5 type R.
Type P machines can complete 5 jobs/month, Q machines cancomplete 10 jobs/month and R machines can complete 11 jobs/month.Machine type Q and R can be used to weld lockers and desks. Machinetype P and Q can be used to weld shelves and TV stands.
The number of lockers purchased cannot exceed the number oflockers manufactures
The number of desks manufactured must be no more than twice thenumber of shelves manufactured
At least 30% of the TV stands must be manufactured.
The total number of goods purchased must be within 25% of thetotal number of goods manufactured.
Formulate a Linear Programming model that will maximize profitfor Nucor.
