Tutorial Questions on Matrix Multiplication 1) Three people denoted by P1, P2, P3 intend to buy some rolls, buns, cakes and bread. Each of them needs these commodities in differing amounts and can buy them in two shops S1, S2. The individual prices and desired quantities of the commodities are given in the following tables: a) Determine the people demand matrix. b) Determine the unit commodity price matrix for the two shops. c) Determine the amount of money to be spent by each person if they buy commodities from each of the shop, based on the matrix multiplication principle. d) Based on the results of question 1c, which shop is the best for every person P1, P2, P3 to pay as little as possible? c) Based on the results of question 1d, determine the total amount of money to be spent by each person in purchasing roll, bun, cake and bread. 2) A supplier supplies coffee beass to shop A, B and C in bags of 5kg,10kg and 15kg as shown in the table below. Slop A. 80100 Strop li io 150 in Shep C is 200m The cost price of 5kg,10kg and 15kg are $10.60,517.20 and $22.50 respectively a) Determine the shops supply quantity matrix b) Determine the coffee beans unit price matrix c) Determine the cost of supplying coffee beans to each shop. based on the matrix multiplication principle. d) Based on the results of question 2c, Determine the total cost of supplying coffee beans to all the shops. 3) A business makes toy buses and toy lorries. The following table is used to calculate the cost of manufacturing cach toy Tutorial Questions on Matrix Multiplication 1) Three people denoted by P1, P2, P3 intend to buy some rolls, buns, cakes and bread. Each of them needs these commodities in differing amounts and can buy them in two shops S1, S2. The individual prices and desired quantities of the commodities are given in the following tables: a) Determine the people demand matrix. b) Determine the unit commodity price matrix for the two shops. c) Determine the amount of money to be spent by each person if they buy commodities from each of the shop, based on the matrix multiplication principle. d) Based on the results of question 1c, which shop is the best for every person P1, P2, P3 to pay as little as possible? c) Based on the results of question 1d, determine the total amount of money to be spent by each person in purchasing roll, bun, cake and bread. 2) A supplier supplies coffee beass to shop A, B and C in bags of 5kg,10kg and 15kg as shown in the table below. Slop A. 80100 Strop li io 150 in Shep C is 200m The cost price of 5kg,10kg and 15kg are $10.60,517.20 and $22.50 respectively a) Determine the shops supply quantity matrix b) Determine the coffee beans unit price matrix c) Determine the cost of supplying coffee beans to each shop. based on the matrix multiplication principle. d) Based on the results of question 2c, Determine the total cost of supplying coffee beans to all the shops. 3) A business makes toy buses and toy lorries. The following table is used to calculate the cost of manufacturing cach toy
