Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem Maximize contribution= a) Using a computer software for solving LP, the optimal solution achieved is X₁=(round your response to two decimal places) 4X₁ +4x₂+7X3 1X, +7X₂ +4X₂ s 100 2X₁ + 1X₂ +7X₂ s 110 8X, +4X₂ + 1X₂ = 100 X₁ X₂ Xy 20 (C₁ hours on machine 1) (C₂ hours on machine 2) (C3 hours on machine 3)
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- Formulate a system of equations for the situation below and solve.Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of one-bedroom units and two- and three-bedroom townhouses. A total of 204 units is planned, and the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one-bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex. one-bedroom units units two-bedroom townhouses units three-bedroom townhouses unitsPlease do not give solution in image formate thanku. Hoosier Power needs to determine a capacity expansion plan to meet Bloomington’s power needs for the next 20 years. The current capacity is 5,000 kWh. The demand for the current year is 4,000 kWh, and demand is expected to increase by 1,000 kWh in each succeeding year. At the beginning of each year, Hoosier Power must determine the amount of capacity to add, given the following inputs: Any year in which capacity is added, a fixed cost of $120,000 is incurred plus a cost of $120 per kWh of capacity; At most 10,000 kwh of capacity can be added in a single year; It costs $24 per year to maintain a unit of capacity; It costs $12 per year to produce one kWh; If production does not meet demand, a shortage cost of $75 per kWh short is incurred. Hoosier Power wants to determine a capacity expansion plan with the minimal total cost to meet Bloomington’s power needs for the next 20 years. Define the decision variables and write down the…The following table presents cost, capacity, and demand data for a transportation problem in Stephanie Robbin’s furniture company. Set up the appropriate transportation table and find the optimal solution using Excel's solver. From/To 1 2 3 Supply A 30 10 5 20 B 10 10 10 30 C 20 10 25 75 Demand 40 60 55 a. Is the problem balanced? [ Select ] ["Yes", "it is balanced", "No", "cannot determine"] , If not, where? [ Select ] ["Neither", "Supply", "Demand"] , and by how much? [ Select ] ["0", "40", "30", "25"] b. What is the optimal cost? $ [ Select ] ["2,500", "1,100", "1,275", "1,300"] c. Were you able to meet all demand requirement? [ Select ] ["no", "cannot determine based on the information given", "yes"] If not, which destination (s) was/were not met? [ Select ] ["none, all destinations were met based on supply and demand being equal", "destination 3 by 30 units", "destination 2 by 30 units", "destination 1 by 25 units…
- A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm’s goal is to maximize the net present value of their decision while not spending more than their currently available capital. Max 15x1 + 15x2 + 15x3+ 30x4s.t. 7x1 + 13x2 + 11x3 + 10x4 ≤ 20 {Constraint 1}x1 + x2 + x3 + x4 ≥ 2 {Constraint 2}x1 + x2 ≤ 1 {Constraint 3}x1 + x3 ≥ 1 {Constraint 4}x2 = x4 {Constraint 5} xj = 1, if location j is selected0, otherwise Solve this problem to optimality and answer the following questions: Which of the warehouse locations will/will not be selected?Cutey Barber Salon is a trendy barber salon that is located in a densely populated city called Maple.Demand for the services offered by the salon is fairly high. It offers services such as haircuts, hairstyling, scalp massaging and conditioning treatment, straight razor and wet shave, beard sculpting,facials and hair colouring. In addition to these services provided, the salon sells premium hair productsto customers. The salon has the ability to produce a maximum of 20,000 haircuts and hairstyling peryear. Demand for haircuts and hairstyling over the last five years can be seen in the following table:- Year Demand for haircutsand hairstyling2017 11,5002018 12,2002019 13,4002020 14,0002021 14,500 Although the business does not have a written vision and mission statement, it is clear in the minds…Cutey Barber Salon is a trendy barber salon that is located in a densely populated city called Maple.Demand for the services offered by the salon is fairly high. It offers services such as haircuts, hairstyling, scalp massaging and conditioning treatment, straight razor and wet shave, beard sculpting,facials and hair colouring. In addition to these services provided, the salon sells premium hair productsto customers. The salon has the ability to produce a maximum of 20,000 haircuts and hairstyling peryear. Demand for haircuts and hairstyling over the last five years can be seen in the following table:- Year Demand for haircuts and hairstyling 2017 11,500 2018 12,200 2019 13,400 2020 14,000 2021 14,500 Although the business does not have a written vision and mission statement, it is clear in the minds ofmanagement what they want to achieve and what they would like to be in the future.Currently, customers can walk in at any time to be served. At times, customers have to…
- Cutey Barber Salon is a trendy barber salon that is located in a densely populated city called Maple.Demand for the services offered by the salon is fairly high. It offers services such as haircuts, hairstyling, scalp massaging and conditioning treatment, straight razor and wet shave, beard sculpting,facials and hair colouring. In addition to these services provided, the salon sells premium hair productsto customers. The salon has the ability to produce a maximum of 20,000 haircuts and hairstyling peryear. Demand for haircuts and hairstyling over the last five years can be seen in the following table:- Year Demand for haircutsand hairstyling2017 11,5002018 12,2002019 13,4002020 14,0002021 14,500 Although the business does not have a written vision and mission statement, it is clear in the minds…Cutey Barber Salon is a trendy barber salon that is located in a densely populated city called Maple.Demand for the services offered by the salon is fairly high. It offers services such as haircuts, hairstyling, scalp massaging and conditioning treatment, straight razor and wet shave, beard sculpting,facials and hair colouring. In addition to these services provided, the salon sells premium hair productsto customers. The salon has the ability to produce a maximum of 20,000 haircuts and hairstyling peryear. Demand for haircuts and hairstyling over the last five years can be seen in the following table:- Year Demand for haircutsand hairstyling2017 11,5002018 12,2002019 13,4002020 14,0002021 14,500 Although the business does not have a written vision and mission statement, it is clear in the minds…Cutey Barber Salon is a trendy barber salon that is located in a densely populated city called Maple.Demand for the services offered by the salon is fairly high. It offers services such as haircuts, hairstyling, scalp massaging and conditioning treatment, straight razor and wet shave, beard sculpting,facials and hair colouring. In addition to these services provided, the salon sells premium hair productsto customers. The salon has the ability to produce a maximum of 20,000 haircuts and hairstyling peryear. Demand for haircuts and hairstyling over the last five years can be seen in the following table:- Year Demand for haircuts and hairstyling2017 11,5002018 12,2002019 13,4002020 14,0002021 14,500 Although the business does not have a written vision and mission statement, it is clear in the minds ofmanagement what they want to achieve and what they would like to be in the future. Currently, customers can walk in at any time to be served. At…
- Cutey Barber Salon is a trendy barber salon that is located in a densely populated city called Maple.Demand for the services offered by the salon is fairly high. It offers services such as haircuts, hairstyling, scalp massaging and conditioning treatment, straight razor and wet shave, beard sculpting,facials and hair colouring. In addition to these services provided, the salon sells premium hair productsto customers. The salon has the ability to produce a maximum of 20,000 haircuts and hairstyling peryear. Demand for haircuts and hairstyling over the last five years can be seen in the following table:- Year Demand for haircuts and hairstyling 2017 11,500 2018 12,200 2019 13,400 2020 14,000 2021 14,500 Although the business does not have a written vision and mission statement, it is clear in the minds ofmanagement what they want to achieve and what they would like to be in the future.Currently, customers can walk in at any time to be served. At times, customers have to…Cutey Barber Salon is a trendy barber salon that is located in a densely populated city called Maple.Demand for the services offered by the salon is fairly high. It offers services such as haircuts, hairstyling, scalp massaging and conditioning treatment, straight razor and wet shave, beard sculpting,facials and hair colouring. In addition to these services provided, the salon sells premium hair productsto customers. The salon has the ability to produce a maximum of 20,000 haircuts and hairstyling peryear. Demand for haircuts and hairstyling over the last five years can be seen in the following table:- Year Demand for haircuts and hairstyling 2017 11,500 2018 12,200 2019 13,400 2020 14,000 2021 14,500 Although the business does not have a written vision and mission statement, it is clear in the minds ofmanagement what they want to achieve and what they would like to be in the future.Currently, customers can walk in at any time to be served. At times, customers have to…Cutey Barber Salon is a trendy barber salon that is located in a densely populated city called Maple.Demand for the services offered by the salon is fairly high. It offers services such as haircuts, hairstyling, scalp massaging and conditioning treatment, straight razor and wet shave, beard sculpting,facials and hair colouring. In addition to these services provided, the salon sells premium hair productsto customers. The salon has the ability to produce a maximum of 20,000 haircuts and hairstyling peryear. Demand for haircuts and hairstyling over the last five years can be seen in the following table:- Year Demand for haircuts and hairstyling 2017 11,500 2018 12,200 2019 13,400 2020 14,000 2021 14,500 Although the business does not have a written vision and mission statement, it is clear in the minds ofmanagement what they want to achieve and what they would like to be in the future.Currently, customers can walk in at any time to be served. At times, customers have to…