Question

Suppose Ace Novelty received an order from an amusement park for 1900 Pink Panthers, 1700 Giant Pandas, and 1400 Big Birds. The quantity of each type of stuffed animal to be produced at each plant is shown in the following production matrix: Panthers Pandas Birds 600 1000 500 Seattle 1300 700 900 Each Panther requires 1 square yards of plush, 20 cubic feet of stuffing, and 16 pieces of trim. Each Panda requires 1.9 square yards of plush, 30 cubic feet of stuffing, and 6 pieces of trim. Each Bird requires 2.4 square yards of plush, 25 cubic feet of stuffing, and 16 pieces of trim. The plush costs $4.50 per square yard, the stuffing costs 10 cents per cubic foot, and the trim costs 25 cents per piece (a) How much of each type of material must be purchased for each plant? plush for L.A stuffing for LA trim for L.A plush for Seattle stuffing for Seattle trim for Seattle yd ft3 pieces yd ft3 pieces (b) What is the total cost of materials that will be incurred at each plant? L.A Seattle $ (c) What is the total cost of materials incurred by Ace Novelty in filling the order?

Answer 1

According to the matrix

For LA

Panthers = 600

Pandas = 1000

Birds = 500

For Seattle

Panthers=1300

Pandas = 700

Birds = 900

a)

Given,

For Plush

Each Panther requires 1 sq. yard of plush.

Each Panda requires 1.9 sq. yard of plush

Each Bird requires 2.4 sq. yard of plush

For LA Total Pluses = 1x600+1.9x1000+2.4x500=3700 yd².

For Seattle Total Pluses = 1x1300+1.9x700+2.4x900=4790 yd².

For Stuffing

Each Panther requires 20 cubic feet of stuffing.

Each Panda requires 30 cubic feet of stuffing

Each Bird requires 25 cubic feet of stuffing

For LA Total Stuffing = 20x600+30x1000+25x500=54500 ft³.

For Seattle Total Stuffing = 20x1300+30x700+25x900=69500 ft³.

For Trim

Each Panther requires 16 pieces of trim.

Each Panda requires 6 pieces of trim

Each Bird requires 16 pieces of trim

For LA Total trims= 16x600+6x1000+16x500=23600 pieces of trim.

For Seattle Total Trims = 16x1300+6x700+16x900=39400 pieces of trim.

b)

Given,

Plush costs $4.5 per square yard.

Stuffing costs 10 cents per cubic foot

Trim costs 25 cents per piece

For LA Cost = 4.5x3700+0.1x54500+0.25x23600 = $28000

For Seattle cost = 4.5x4790+0.1x69500+0.25x39400= $38355

c)

Total cost of materials = 28000+38355 = $66355

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