Questions 9 and 10 refer to the following: Creative Coffees sells 2 types of coffees to retail stores: regular and decaf. For the current month thecompany has 200 tons of coffee beans in inventory and has scheduled up to 300 hours of processing time for roasting. Each ton a regular coffeerequires 1 ton of beans and 1 hour of roasting, and yields a net profit of $3000. Each ton of decaf also requires 1 ton of beans but needs 2 hours ofroasting, and yields a net profit of $5000. To maximize the net profit for the month, the manager of the production department has formulated thefollowing linear program in which x is the number of tons of regular coffee and y is the number of tons of decaf coffee to produce:3000x + 5000yx +x +Maximizey s 200 (bean constraint)2y s 300 (time constraint)y 2 0Subject toX,The feasible region corresponding to this linear program has four extreme points: (x = 0, y = 0), (x = 200, y = 0), (x = 100, y = 100), and (x = 0, y = 150).What is the optimal profit for Creative Coffees? Enter your answer rounded to the nearest dollar.%3D%3DQUESTION 10Refer to the prior question. True or false? If Creative Coffees could obtain either more beans or more processing time, then they could growprofits.C TrueFalse Your city wants to determine how many postal substations are needed to service its population. The city has been divided into eight postal zones.Five possible locations for the substations have been identified. Each location can service a different number of zones, as indicated in thefollowing table.Location Zones that can be served1,2,3121,4,532,4,5,83,5,6,7456,7,8In the text box, formulate a mathematical model to determine the fewest number of substations (and their locations) needed to service all 8 postalzones. Buy "formulate," you should define decision variables, the objective function, and all appropriate constraints. You need only supply thefinal mathematical model (you do not need to write out the objective function or constraints in words). You will not solve this. (Hint: defineinappropriate variable for each location.)

Name: Questions 9 and 10 refer to the following: Creative Coffees sells 2 t
Uploaded: 2024-03-20T07:07:26.000Z
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Description: Questions 9 and 10 refer to the following: Creative Coffees sells 2 types of coffees to retail stores: regular and decaf. For the current month thecompany has 200 tons of coffee beans in inventory and has scheduled up to 300 hours of processing time