Production and inventories Operating from two plants, the Book Equipment Company (BEC) produces bookcases and iling cabinets. Matrix
If column
(a) Write a matrix that describes production for the first
weeks.
(b) Find a matrix that describes production for the first
weeks.
(c) If matrix
(d) If
?
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Mathematical Applications for the Management, Life, and Social Sciences
- Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the same for each product but varies by warehouse because of the distances involved. It costs $0.75 to distribute one unit from warehouse 1 and $1.00 to distribute one unit from warehouse 2. Organize these costs into a matrix C and then use matrix multiplication to compute the total cost of distributing each product.arrow_forwardWhat is the row-echelon form of a matrix? What is a leading entry?arrow_forwardA factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two warehouses for storage. The number of units of each product shipped to each warehouse is given by the matrix A=[20015010075100125] (where aij is the number of units of product i sent to warehouse j and the products are taken in alphabetical order). The cost of shipping one unit of each product by truck is $1.50 per doohickey, $1.00 per gizmo, and $2.00 per widget. The corresponding unit costs to ship by train are $1.75, $1.50, and $1.00. Organize these costs into a matrix B and then use matrix multiplication to show how the factory can compare the cost of shipping its products to each of the two warehouses by truck and by train.arrow_forward
- A manufacture produce three models of a product and ships them to two warehouse. In the matrix A=[200300600350250400] aij represent the number of units model i that the manufacturer ships to warehouse j. The matrix B=[12.509.0021.50] Represent the price of the three models in dollars per unit. Find the product BA and state what each entry of the matrix represents.arrow_forwardWrite the system of equations that corresponds to the augmented matrix: [111423181113] .arrow_forwardExplain the difference between the row-echelon form and the reduced row-echelon form of a matrix.arrow_forward
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