Question

Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost in dollars of producing a kitchen chair at each of the two plants is given here. The cost of producing Q₁ chairs at Aynor is:

    25Q₁+5Q₁²+100

and the cost of producing Q₂ kitchen chairs at Spartanburg is:

    75Q₂+5Q₂²+150.

Andalus needs to manufacture a total of 43 kitchen chairs to meet an order just received. How many chairs should be made at Aynor, and how many should be made at Spartanburg in order to minimize total production cost? If required, round your answers to the nearest whole number. Round intermediate calculations to two decimal places.

Plant	Quantity
Aynor		chairs
Spartanburg		chairs
Total cost	$

Answer 1

Aynor plant has to make 23 chairs.(As you can make whole number of chairs and making fraction of chairs is not possible)

Spartanburg plant has to make 20 chairs.

The total production cost is 149,360.