#37 look at both pages and please explain all steps SECTIC0.6ProgrammingNumberarFactory 220/day10/day70/day$20,000Factory 1Ordered0.pair of style 891 takes 10 minutes to cut out and 20minutes to assemble and finish. Each pair of style 917takes 10 minutes to cut out and 30 minutes to assembleand finish. The plant has enough workers to provideat most 7500 minutes per day for cutting and at most19,500 minutes per day for assembly and finishing. Theprofit on each pair of style 891 is $18.00, and the profiton each pair of style 917 is $22.50. How many pairs ofcach style should be produced per day to obtain maxi-mum profit? Find the maximum daily profit.33. Nutrition A privately owned lake contains two typesof game fish, bass and trout. The owner provides twotypes of food, A and B, for these fish. Bass require 2units of food A and 4 units of food B, and trout require5 units of food A and 2 units of food B. If the owner has800 units of each food, find the maximum number offish the lake can support.Appliance 1Appliance 2Appliance 3Daily cost1600ts manufacturesanits. Its profitIf unit. Nextby two limitedvailable nexts, and the- be at most"abor hours andit requires 3ind how manyoduced nextS.Kep/0810/day20/day$10,000500200038. Nutrition In a laboratory experiment, two separatetoods are given to experimental animals. Each foodcontains essential ingredients, A and B, for which theanimals have a minimum requirement; each food alsohas an ingredient C, which can be harmful to the ani-mals. The following table summarizes this information.43maximumFood 1Food 2Requirednation ofcampaign.t on televi-ch 1-min-candidate3 units/gIngredient AIngredient BIngredient C10 units/g6 units/g 12 units/g3 units/g49 units60 units1 unit/g34. Nutrition In a zoo, there is a natural habitat contain-ing several feeding areas. One of these areas serves asa feeding area for two species, I and II, and is suppliedcach day with 120 pounds of food A, 110 pounds offood B, and 57 pounds of food C. Each individual ofspecies I requires 5 lb of A, 5 lb of B, and 2 lb of C, andeach individual of species II requires 6 lb of A, 4 lb ofB, and 3 lb of C. Find the maximum number of the twospecies that can be supported.Deople, andadvertise-hould be/minuteHow many grams of foods 1 and 2 should be given tothe animals to satisfy the requirements for A and Bwhile minimizing the amount of ingredient C ingested?39. Manufacturing The Janie Gioffre Drapery Companymakes three types of draperies at two different loca-tions. At location I, it can make 10 pairs of deluxedrapes, 20 pairs of better drapes, and 13 pairs of stan-dard drapes per day. At location II, it can make 20 pairsof deluxe, 50 pairs of better, and 6 pairs of standard perday. The company has orders for 2000 pairs of deluxedrapes, 4200 pairs of better drapes, and 1200 pairs ofstandard drapes. If the daily costs are $500 per day atlocation I and $800 per day at location II, how manydays should Janie schedule at each location to fill theorders at minimum cost? Find the minimum cost.be-on theirequireforShadow prices-land management For Problems 35 and36, refer to the farm co-op application in Example 2(a).Rework that linear programming problem with the indi-cated changes in one constraint and answer the questions.35. (a) If one more acre of land became available (for atotal of 6001 acres), how would this change theco-op's planting strategy and its maximum profit?(b) Repeat part (a) if 8 more acres of land wereavailable.(c) Based on parts (a) and (b), what is the profit valueof each additional acre of land? This value is calledthe shadow price of an acre of land.36. (a) If one more gallon of fertilizer/herbicide becameavailable (for a total of 40,501 gallons), how wouldthis change the co-op's planting strategy and itsmaximum profit?(b) Repeat part (a) if 8 more gallons of fertilizer/herbi-cide were available.(c) Based on parts (a) and (b), what is the profit valueh additional gallon of fertilizer/herbicide(that is, the shadow price of a gallon of fertilizer/herbicide)?ats forancerizesndanyco40. Nutrition Two foods contain proteins, carbohydratesand fats. Food A costs $1 per pound and contains 309protein, 10% fat, and 50% carbohydrates. Food B cos$1.50 per pound and contains 20% protein, 4% fat, a75% carbohydrates. What combination of these twodo foods provides at least 1 pound of protein, 2 pouncocarbohydrates, and pound of fat at the lowest cost41. Manufacturing A sausage company makes two dioent kinds of hot dogs, regular and all beef. Eachof all-beef hot dogs requires 0.75 lb of beef and 0.of spices, and each pound of regular hot dogs req0.18 lb of beef, 0.3 lb of pork, and 0.2 lb of spices-pliers can deliver at most 1020 lb of beef, at mosof pork, and at least 500 lb of spices. If the profi$1.50 on each pound of all-beef hot dogs and $each pound of regular hot dogs, how many poueach should be produced to obtain maximumWhat is the maximum profit?42. Manufacturing A cereal manufacturer makdifferent kinds of cereal, Senior Citizen's FeaKids Go. Each pound of Senior Citizen's Fe:1oodsnentpoof eac37. Manufacturing Two factories produce three differenttypes of kitchen appliances. The following table sum-marizes the production capacity, the number of eachtype of appliance ordered, and the daily operating costsfor the factories. How many days should each factoryoperate to fill the orders at minimum cost? Find theatbominimum cost.

Question

#37 look at both pages and please explain all steps SECTIC0.6ProgrammingNumberarFactory 220/day10/day70/day$20,000Factory 1Ordered0.pair of style 891 takes 10 minutes to cut out and 20minutes to assemble and finish. Each pair of style 917takes 10 minutes to cut out and 30 minutes to assembleand finish. The plant has enough workers to provideat most 7500 minutes per day for cutting and at most19,500 minutes per day for assembly and finishing. Theprofit on each pair of style 891 is $18.00, and the profiton each pair of style 917 is $22.50. How many pairs ofcach style should be produced per day to obtain maxi-mum profit? Find the maximum daily profit.33. Nutrition A privately owned lake contains two typesof game fish, bass and trout. The owner provides twotypes of food, A and B, for these fish. Bass require 2units of food A and 4 units of food B, and trout require5 units of food A and 2 units of food B. If the owner has800 units of each food, find the maximum number offish the lake can support.Appliance 1Appliance 2Appliance 3Daily cost1600ts manufacturesanits. Its profitIf unit. Nextby two limitedvailable nexts, and the- be at most&#34;abor hours andit requires 3ind how manyoduced nextS.Kep/0810/day20/day$10,000500200038. Nutrition In a laboratory experiment, two separatetoods are given to experimental animals. Each foodcontains essential ingredients, A and B, for which theanimals have a minimum requirement; each food alsohas an ingredient C, which can be harmful to the ani-mals. The following table summarizes this information.43maximumFood 1Food 2Requirednation ofcampaign.t on televi-ch 1-min-candidate3 units/gIngredient AIngredient BIngredient C10 units/g6 units/g 12 units/g3 units/g49 units60 units1 unit/g34. Nutrition In a zoo, there is a natural habitat contain-ing several feeding areas. One of these areas serves asa feeding area for two species, I and II, and is suppliedcach day with 120 pounds of food A, 110 pounds offood B, and 57 pounds of food C. Each individual ofspecies I requires 5 lb of A, 5 lb of B, and 2 lb of C, andeach individual of species II requires 6 lb of A, 4 lb ofB, and 3 lb of C. Find the maximum number of the twospecies that can be supported.Deople, andadvertise-hould be/minuteHow many grams of foods 1 and 2 should be given tothe animals to satisfy the requirements for A and Bwhile minimizing the amount of ingredient C ingested?39. Manufacturing The Janie Gioffre Drapery Companymakes three types of draperies at two different loca-tions. At location I, it can make 10 pairs of deluxedrapes, 20 pairs of better drapes, and 13 pairs of stan-dard drapes per day. At location II, it can make 20 pairsof deluxe, 50 pairs of better, and 6 pairs of standard perday. The company has orders for 2000 pairs of deluxedrapes, 4200 pairs of better drapes, and 1200 pairs ofstandard drapes. If the daily costs are $500 per day atlocation I and $800 per day at location II, how manydays should Janie schedule at each location to fill theorders at minimum cost? Find the minimum cost.be-on theirequireforShadow prices-land management For Problems 35 and36, refer to the farm co-op application in Example 2(a).Rework that linear programming problem with the indi-cated changes in one constraint and answer the questions.35. (a) If one more acre of land became available (for atotal of 6001 acres), how would this change theco-op's planting strategy and its maximum profit?(b) Repeat part (a) if 8 more acres of land wereavailable.(c) Based on parts (a) and (b), what is the profit valueof each additional acre of land? This value is calledthe shadow price of an acre of land.36. (a) If one more gallon of fertilizer/herbicide becameavailable (for a total of 40,501 gallons), how wouldthis change the co-op's planting strategy and itsmaximum profit?(b) Repeat part (a) if 8 more gallons of fertilizer/herbi-cide were available.(c) Based on parts (a) and (b), what is the profit valueh additional gallon of fertilizer/herbicide(that is, the shadow price of a gallon of fertilizer/herbicide)?ats forancerizesndanyco40. Nutrition Two foods contain proteins, carbohydratesand fats. Food A costs $1 per pound and contains 309protein, 10% fat, and 50% carbohydrates. Food B cos$1.50 per pound and contains 20% protein, 4% fat, a75% carbohydrates. What combination of these twodo foods provides at least 1 pound of protein, 2 pouncocarbohydrates, and pound of fat at the lowest cost41. Manufacturing A sausage company makes two dioent kinds of hot dogs, regular and all beef. Eachof all-beef hot dogs requires 0.75 lb of beef and 0.of spices, and each pound of regular hot dogs req0.18 lb of beef, 0.3 lb of pork, and 0.2 lb of spices-pliers can deliver at most 1020 lb of beef, at mosof pork, and at least 500 lb of spices. If the profi$1.50 on each pound of all-beef hot dogs and $each pound of regular hot dogs, how many poueach should be produced to obtain maximumWhat is the maximum profit?42. Manufacturing A cereal manufacturer makdifferent kinds of cereal, Senior Citizen's FeaKids Go. Each pound of Senior Citizen's Fe:1oodsnentpoof eac37. Manufacturing Two factories produce three differenttypes of kitchen appliances. The following table sum-marizes the production capacity, the number of eachtype of appliance ordered, and the daily operating costsfor the factories. How many days should each factoryoperate to fill the orders at minimum cost? Find theatbominimum cost.

Accepted Answer

Objective Functions and Constraints:
                Based on the given details, we found the…