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- In Exercises 11 and 12, determine whether b is in col(A) and whether w is in row(A), as in Example 3.41. 11.1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computerized wheel alignment and balancing machine. Managers feel that maintenance expense is related to usage of the machine, and they have collected the following information on weekly usage of the machine (in hours) and annual maintenance expense (in hundreds of dollars) from 10 other companies that own the machine.Company Weekly Usage(hours) Annual maintenance Expense(hundreds of dollars)A 13 17.0B 10 22.0C 20 30.0D 28 37.0E 32 47.0F 17…
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- Assuming Get Food Now achieved 12,000 interactions, how many of these would have resulted in customer being less than satisfied with their first interaction?Each box of Healthy Crunch breakfast cereal contains a coupon entitling you to afree package of garden seeds. At the Healthy Crunch home office, they use the weightof incoming mail to determine how many of their employees are to be assigned tocollecting coupons and mailing out seed packages on a given day. (Healthy Crunch hasa policy of answering all its mail on the day it is received.)Let x = weight of incoming mail and y = number of employees required to process themail in one working day. A random sample of 8 days gave the following data:x (lb) 11 20 16 6 12 18 23 25y (Number of employees) 6 10 9 5 8 14 13 16a.) Draw a scatter diagram for the datab.) Find the equation of the least-squares line. Plot the line on the scatter diagram forpart (a).c.) Find the sample correlation coefficient r and the coefficient of determination ??.d.) If Healthy Crunch receives 15 pounds of mail, how many employees should beassigned mail duty that day? Show workEstablish the table of information and formulate the LP Model of the following. Riana needs at least 40 units of protein, 60 units of carbohydrates, and 50 units of fat each month. From each kilogram of food A, she receives 2 of protein, 4 of carbohydrates, and 5 units of fat. Food B contains 3 units of protein, 3 units of protein, 3 units of carbohydrates, and 2 units of fat per kilogram. If food A cost P110 and food B costs P90 per kilogram. How many kilograms of each food should Sofia buy each month to keep costs at a minimum?