CHECKPOINT
The following technology matrix for a simple economy describes the relationship of certain industries to each other in the production of
Which industry is most dependent on its own goods for its operation?
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Mathematical Applications for the Management, Life, and Social Sciences
- APPLICATIONS Fact-Food Sales A small fast-food chain with restaurants in Santa Monica, Lang Beach, and Anaheim sells only hamburgers, hot dogs, and milk shakes. On a certain day, sales were distributed according to the following matrix. Number of items sold Santa Monica Long Beach Anaheim Hamburgers Hot dogs Milk shakes [4000100035004003002007005009000] =A The price of each item is given by the following matrix. Hamburger Hot Dog Milk shake [0.900.801.10] =B a Calculate the product BA. b Interpret the entries in the product matrix BA.arrow_forwardCAPSTONE In your own words, describe the difference between a matrix in row-echelon form and a matrix in reduced row echelon form. Include an example of each to support your explanation.arrow_forwardUse matrix methods to solve each problem Nutritional planning One ounce of each of three foods has the vitamin and mineral content shown in the table. How many ounces of each must be used to provide exactly 22 milligrams mg of niacin, 12 mg of zinc, and 20 mg of vitamin C? Food Niacin Zinc Vitamin C A 1 mg 1 mg 2 mg B 2 mg 1 mg 1 mg C 2 mg 1 mg 2 mgarrow_forward
- Agriculture A fruit grower raises two crops, apples and peaches. The grower ships each of these crops to three different outlets. In the matrix A=12510075100175125 aij represents the number of units of crop i that the grower ships to outlet j. The matrix B=3.506.00 represents the profit per unit. Find the product BA and state what each entry of the matrix represents.arrow_forwardNutrition Refer to Exercise 61. Suppose food type C has been improperly labeled, and it actually contains 4 mg of folic acid, 6 mg of choline, and 5 mg of inositol per ounce. Would it still be possible to use matrix inversion to solve parts (b), (c), and (d) of Exercise 61? Why or why not?arrow_forward
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