Sleek Sdn. Bhd. is planning on introducing 2 new stool designs (Deni & Arni) for their 2022 furniture catalogue. Each stool is made up of 4 legs and 1 seat. Both designs use the same seat. Deni has shorter (1.5 foot) legs, while Arni has longer (2.5 foot) legs. It takes 0.1 hours of labour to cut and shape a short leg, 0.15 hours to do the same for a long leg, and 0.5 hours to produce a seat. It takes an additional 0.3 hours to attach a set of legs to a seat for either design. The estimated profit is RM25 for each Deni sold and RM45 for each Arni sold. Sleek has unlimited access to material for seats, but only has 500 feet of material for the legs, and 75 labour hours available. Formulate a Linear Program for Sleek Sdn. Bhd. that optimises profit. Assume that Sleek is able to sell all stools that they make and that they must have zero leftover legs and seats.
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- Can you check my work and tell me why I am not getting the answer $9100? Model Inc. has to transport 100 bags of Type Abags, 100 bags of Type B bags, and 100 bagsof Type C bags. They can hire Truck and Minivans. Each truck can carry 10 bags of Type Abags, 20 bags of Type B bags, and 10 bags ofType C bags. On the other hand, each minivancan carry 20 bags of Type A bags, 5 bags ofType B bags, and 10 bags of Type C bags. Eachtruck's rental cost is $1000, and eachminivan's rental cost is $850. There are only 5truck drivers available to drive the trucks(Hint:It means the number of trucks should be lessthan or equal to 5). If Model Inc wants tominimize the transportation cost, how manytrucks and vans should they rent? (PossibleAnswer: $9100) Data A B C COST TRUCK 10 20 10 $ 1,000.00 MINIVAN 20 5 10 $ 850.00 Model…green vehicule Inc. manufactures electric cars and small delivery trucks. it has just opened a new factory where the C1 car and the T1 truck can both be manufactured. to make either vehicle, processing in the assembly shop and the paint shop are required. It takes 1/40 of a day and 1/60 of a paint a truck of type T1 and a car of type C1 in the paint shop, respectively. it takes 1/50 of a day to assemble either type of vehicule in the assembly shop. A t1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicule soldGreen Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/75 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $275 and $225, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = nothing (round your response to two decimal places).
- A machine shop manufactures two types of bolts. The bolts require time on each of the three groups of machines, but the time required on each group differs, as shown in the table below. Type I Type IIMachine 1 0.2 min 0.2 minMachine 2 0.6 min 0.2 minMachine 3 0.04 min. 0.08 min Production schedules are made up one day at a time. In a day, 300, 720, and 100 minutes are available, respectively, on these machines. Type I bolts sell for 15¢ and type II bolts for 20¢. (a) How many of each type of bolt should be manufactured per day to maximize revenue?(b) What is the maximum revenue?(c) Suppose the selling price of type I bolts began to increase. Beyond what amount would this price have to increase before a different number of each type of bolts should be produced to maximize revenue?Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/25 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicle sold. The optimum solution is: Number of trucks to be produced per day = ? (round your response to two decimal places).Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/25 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. Part 2 The optimum solution is: Number of trucks to be produced per day = ? enter your response here
- The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of drilling. During the next production period, 240 hours of wiring time are available and up to 140 hours of drilling time maybe used. Each air conditioner sold yields a profit of $25. Each fan assembled may be sold for a $15 profit. Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans that yields the highest profit. Use the corner point graphical approachA producer has three products, A, B, and C, which are composed from many of the same raw materials and subassemblies by the same skilled workforce. Each unit of product A uses 15 units of Raw Material X, one Purge System Subassembly, one Case, one Power Cord, three Labour Hours in the Assembly Department, and one Labour Hour in the Finishing Department. Each unit of product B uses 10 units of Raw Material X, five units of Raw Material Y, two Purge System Subassemblies, one Case, one Power cord, five Labour Hours in the Assembly Department, and 90 minutes in the Finishing Department. Each unit of product C uses five units of Raw Material X, 25 units of Raw Material Y, two Purge System Subassemblies, one Case, a Power Cord, seven Labour Hours in the Assembly Department, and Three Labour Hours in the Finishing Department. Labour between the Assembly and Finishing departments is not transferable, but workers within each department work on any of the three products. There are three…A producer has three products, A, B, and C, which are composed from many of the same raw materials and subassemblies by the same skilled workforce. Each unit of product A uses 15 units of Raw Material X, one Purge System Subassembly, one Case, one Power Cord, three Labour Hours in the Assembly Department, and one Labour Hour in the Finishing Department. Each unit of product B uses 10 units of Raw Material X, five units of Raw Material Y, two Purge System Subassemblies, one Case, one Power cord, five Labour Hours in the Assembly Department, and 90 minutes in the Finishing Department. Each unit of product C uses five units of Raw Material X, 25 units of Raw Material Y, two Purge System Subassemblies, one Case, a Power Cord, seven Labour Hours in the Assembly Department, and Three Labour Hours in the Finishing Department. Labour between the Assembly and Finishing departments is not transferable, but workers within each department work on any of the three products. There are three…
- Tyler bakes Cookies (C) and Breads (B) with the help of two ovens in his little bakery. The time taken by Oven A to bake each cookie batch is 14 minutes and the time taken by Oven B is 12 minutes. The time taken by Oven A to bake a batch of bread is 16 minutes and the time taken by Oven B is 17 minutes. Each week both Ovens can be used for 50 hours each to bake Cookies and Breads. The rest of the time is used for baking other products. Moreover, Tyler starts each week with a stock of 25 batches of Cookies and 30 batches of Breads because the Cookies and Breads he produces can be considered to be “fresh” for a maximum of 2 weeks. There is an average weekly demand of 70 batches of Cookies and 50 batches of Breads. For each batch of Cookies, Tyler makes $30 in profit and for each batch of Breads Tyler makes $25 in profit. If there are any “close to losing freshness” goods at the end of the week, Tyler sells them at heavily discounted prices on weekends with a profit of $5 per batch of…According to the XYZ Apartment Rental Company ER diagram, which of the following is true? Each building must have more than one builder Each building must have multiple apartments Each building must have at least 8 apartments Each building must have more than 2 apartments Answer: ____Schmidt Industries makes four different snake traps; the Harlan, the Gaylen, the Leah, and the Matthew. The Harlan sells for $200 and has $40 in parts and $40 in labor; the Gaylen sells for $150 and requires $30 in parts and $30 in labor; the Leah sells for $100 and has $20 in parts and $20 in labor, and the Matthew sells for $75 but requires only $10 of parts and $10 of labor. Schmidt Industries has four machines (we'll call them A, B, C, and D for convenience) that are used in the production of each of these products. Each of these machines is available for 40 hours a week and there is no setup time required when shifting from the production of one product to any other. The processing requirements to make one unit of each product are shown in the table. Processing Time on Each Machine in Minutes Model Machine A Machine B Machine C Machine D Harlan 10 15 15 5 Gaylen 10 10 10 10 Leah 5 10 15 10…