Question: Please show the answer step by step. A. Solve the following system of equations using a matrix method: x1+2x2+3x3=142x1+5x2+2x3=183x1+x2+5x3=20 (15 marks) B. What are the

Please show the answer step by step.

A. Solve the following system of equations using a matrix method: x1+2x2+3x3=142x1+5x2+2x3=183x1+x2+5x3=20 (15 marks) B. What are the FIVE (5) benefits obtained from proper planning and control of inventory? (5 marks) C. Sparking Inc sells beauty supplies. The annual demand for a skin spackle is 17,000 units. The cost of placing an order is $50, while the holding cost per unit per year is 20 percent of the cost. This item currently costs $12.50 if the order quantity is less than 1500 . For orders of 1501 units up to 10,000 units the cost falls to $12.45 and for orders of 10,001 or greater, the cost falls to $12.40. i. To minimize total cost, how many units should Sparking Inc order each time it places an order? (6 marks) ii. What is the minimum total cost? (4 marks)

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