Industrial System An industrial system has two industries with the input requirements below.
(a) To produce
(b) To produce
Find
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Elementary Linear Algebra (MindTap Course List)
- What 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_forwardExplain the difference between the row-echelon form and the reduced row-echelon form of a matrix.arrow_forward
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- Write the augmented matrix of the following system of equations. SystemAugmentedmatrix{x+yz=1x2z=32yz=3[]arrow_forwardWrite the augmented matrix of the following system of equations. System {x+yz=1x+2z=32yz=3 Augmented matrixarrow_forwardProfit: At a local store, the numbers of gallons of skim milk, 2% milk, and whole milk sold over the weekend are represented by A. Skim2%WholemilkmilkmilkA=406452608276769684FridaySaturdaySunday The selling prices per gallon and the profits per gallon for the three types of milk are represented by B. SellingProfitProfitB=$3.45$1.20$3.65$1.30$3.85$1.45Skimmilk2%milkWholemilk (a) Compute AB and interpret the result. (b) Find the store’s total profit from the milk sales for the weekend.arrow_forward
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