Question

A distributor supplies bags of coffee beans to three different coffee shops in town. The coffee beans come in 5 lb., 10 lb., and 15 lb. bags. Matrix A shows the number of bags of each size delivered to each coffee shop per week. Matrix B shows the cost of each bag of coffee beans. Assuming that none of the shops change their order requirements, which matrix, W, X, Y, or Z, represents each shops cost of a years supply of each type of coffee beans? 15 lb bags # of 5 lb bags # of 10 lb Bags # of 15 lb bags 80 120 150 MATRIX W5 lb bags Shop A 30,750.00 $145,000.00 66,750.00 Shop B 51,250.00 217,500.00 66,750.00 Shop C 61,500.00 271,875.00 111,250.00 10 lb Bags MATRIX A Shop A Shop B Shop C 30 50 60 30 30 50 MATRIXX 5lb bags Shop A31,980.00 $150,800.00 69,420.00 Shop B53,300.00226,200.00 69,420.00 Shop 63,960.00 282,750.00 115,700.00 10 lb Bags MATRIX B Cost of 5 Ib bag Cost of 10 lb bag Cost of 15 lb bag 15 lb bags $ 20.50 $36.25 $ 44.50 10 lb Bags 15 lb bags MATRIXY 5lb bags Shop A32,595.00 153,700.00 70,755.00 Shop B 54,325.00 230,550.00 70,755.00 Shop C$ 65,190.00 288,187.50 117,925.00 15 lb bags MATRIXZ 5lb bags Shop A 33,210.00 $156,600.00 72,090.00 Shop B 55,350.00 234,900.00 72,090.00 Shop C 66,420.00 293,625.00 120,150.00 10 lb Bags

Matrix W

Matrix X

Matrix Y

Matrix Z

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