The graph shows a region of feasible solutions. Use thisregion to find maximum and minimum values of theobjective function.z = 2x+8ySelect the correct choice below and, if necessary, fill inthe answer box to complete your choice.A. The maximum value isB. The maximum value does not exist.Select the correct choice below and, if necessary, fill inthe answer box to complete your choice.A. The minimum value isB. The minimum value does not exist.10+0The coordinates of the corner points are(2,4), (3,9), (6,8), and (9,5).

Answered: Image /qna-images/answer/f0403ce7-1687-4259-b1f1-5c69b8d86d3a.jpg

Answered: The graph shows a region of feasible…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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17. THE DINNER BANQUET Reese and Markus are planning a special party for their family and friends. A local restaurant offers dinner banquets at $360 for the first 15 guests and $27.50 per person for additional guests. There is a minimum of 15 guests required to reserve the banquet room. a. Assume that at least 15 guests will attend. Write an equation for the cost of the banquet in terms of the number of guests. b. If Reese and Markus want to keep costs below $750, how many guests should they invite?
A certain business finds that the cost to produce x studio-quality DVDs is C= 19x + 100, and the revenue produced from them is R=21x. A product yields a profit only when the revenue exceeds the cost of producing it. Find the least whole number of units x that must be sold for the business to show a profit. DVDs (Type a whole number.)
An athlete is planning a diet change for training. Each time he eats meal A he gets 20 grams of protein and 30 grams of carbohydrates. Each meal B provides 20 grams of protein and 50 grams of carbohydrates. Each meal A costs $5 each and each meal B costs $7.5. The athlete needs at least 80 grams of protein and 160 grams of carbohydrates. (A) let x be the number of meal A and y be the number of meal B. write inequalities for this linear programming problem. (B) identify the feasible set (C) Minimize the objective function 5x+7.5y (the total cost)
100+5x, 3. Jack and Jill work at the same store. Jack's total weekly salary, in dollars, if he sells x items is given by S and Jill's total weekly salary, in dollars, if she sells x items is given by S= 80+ 6x. Assuming that they sell the same number of items in a week, what is the minimum number of items they have to sell so that Jill's weekly salary is at least $100 more than Jack's? ✓✓✓
Julie works no more than 40 hours per week during the school year. She is paid $16 an hour for mentoring students and $14 an hour for tutoring elementary students. She is paid $12 an hour as a personal grocery shopper. She wants to spend at least 10 hours but no more than 15 hours mentoring students. She also wants to spend 8 hours but no more than 12 hours as a personal grocery shopper. Find Julie’s maximum weekly earnings. (Linear Programming) m= # of hrs. spent mentoring t= # of hrs. spent tutoring p=# of hrs. spent personal grocery shopping Earnings=16m+14t+12p Total hours worked: m≥10 m≤15 t≥0 p≥8 p≤12 M+t+p≤40

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