Problem 2 (1/2) Denimco manufactures three kinds of jeans. The labor and raw material used is as follows: Product Labor (hr/unit) Raw Material (sq.ft/unit) 1 5 4 2 4 3 3 3 6 The profit per unit for each product are $25, $30, and $22 respectively. DenimCo is considering two facility location, each having different resources сарacity: Facility Available Labor (hr) Available Material (sq.ft) 1 100 100 2 90 120 Problem 2 (2/2) a) Formulate the problem as an Integer Programming! b) Denimco decides to only produce product 1 and 3. Where should DenimCo produce their products? How many units should be produced? How much is the optimal profit? Solve using branch and bound method! [Hint: Use graphic method to solve each subproblem]
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- 4. An electronics company is engaged in the production of two components C, and C2, used in radio sets. Each unit of C costs the company 5 in wages and 5 in materials, while each unit of C2 costs the company 7 25 in wages and 15 in materials. The company sells both products on one-period credit terms, but the company's labour and material expenses must be paid in cash. The selling price of C, is 7 30 per unit and of C, it is 7 70. Because of the strong monopoly of the company for these components, it is assumed that the company can sell at the prevailing prices as many units as it produces. The company's production capacity is, however, limited by two considerations. First, at the beginning of period 1, the company has initial balance of 7 4,000 (cash plus bank credit plus collections from past credit sales). Secondly, the company has available, in each period, 2,000 hours of machine time and 1,400 hours of assembly time. The production of each C1 requires three hours of machine time…QUESTION 15 Al Watan supermarket has hire-purchases scheme for locals and expats. The customers will get the credit facility if they satisfy any of the following conditions: 1. The customer must hold the present job for more than 5 years and reside in the same place at least for 3 years. In this case, the customer will get credit upto rupees 300 omr. 2. The monthly salary of the customer must exceed 1000 omr and must hold the present job for more than 5 years. In this case credit will be given upto rupees 500 omr. 3. The monthly salary must exceed 1000 omr and reside at the same place at least for 3 years. In this case credit will be given upto 500 omr. 4. In the case, the customer's monthly salary exceeds 1000 omr, holds the present job for more than 5 years and also reside in the same place at least for the 3 years, the credit facility will be upto 1000 omr 5. The credit facility is rejected for all other customers. Prepare a Decision Table for this hire- purchase scheme. Attach File…QUESTION 15 Al Watan supermarket has hire-purchases scheme for locals and expats. The customers will get the credit facility if they satisfy any of the following conditions: 1. The customer must hold the present job for more than 5 years and reside in the same place at least for 3 years. In this case, the customer will get credit upto rupees 300 omr. 2. The monthly salary of the customer must exceed 1000 omr and must hold the present job for more than 5 years. In this case credit will be given upto rupees 500 omr. 3. The monthly salary must exceed 1000 omr and reside at the same place at least for 3 years. In this case credit will be given upto 500 omr. 4. In the case, the customer's monthly salary exceeds 1000 omr, holds the present job for more than 5 years and also reside in the same place at least for the 3 years, the credit facility will be upto 1000 omr 5. The credit facility is rejected for all other customers. Prepare a Decision Table for this hire- purchase scheme.
- Pneumatics Engineering purchased a machine that had a fi rst cost of $40,000, an expected useful life of 8 years, a recovery period of 10 years, and a salvage value of $10,000. The operating cost of the machine is expected to be $15,000 per year. The inflation rate is 6% per year and the company’s MARR is 11% per year. Determine the depreciation charge for year 3 according to the straight line method. (UNITS ARE REQUIRED)Problem 2: Pricing for Blue Ridge Hot Tubs Howie Jones, owner of Blue Ridge Hot Tubs, is facing a new problem. Although sale of the two hot tubs manufactured by his company (Aqua Spas and Hydro Luxes) have been brisk, the company is not earning the level of profits that Howie wants to achieve. Having established a reputation for high quality and reliability, Howie believes he can increase profits by increasing the prices of the hot tubs. However, he is concerned that a price increase might have a detrimental effect on demand, so Howie has engaged a marketing research firm to estimate the level of demand for Aqua Spas and Hydro Luxes at various prices. The marketing research firm used the technique of regression analysis to develop a model of the relationship between the prices and demand for the hot tubs. After analyzing the situation, the marketing research firm concluded that Howie can expect the demand for hot tubs in the next quarter to vary with price in the following way: Demand…Problem 2 Homely Development Corporation is considering bidding on a contract for a new office complex. The company needs to decide if it should bid on the contract. The codt of preparing the bid is $200,000. The company estimates that it has an 80% chance of winning the contract and 20% of losing the bid. If the company wins the bid it will have to pay $2,000,000 to become a partner in the contract. Once they are partners in the contract, they could conduct a market research study at $150,000. The research project could return with a forecast of a high market demand or low market demand. Regardless of the survey result must decide if they want to build the office complex or sell the rights to another company. Homely estimates that selling the contract rights will generate revenues of $3,500,000. If Homely decides to build the office complex they will generate $5,000,000 in revenue if demand is high and $3,000,000 if demand is low. Information for this project is listed below. Cost of…
- Steelco manufactures two types of steel at three different steel mills. During a given month, each steel mill has 200 hours of blast furnace time available. Because of differences in the furnaces at each mill, the time and cost to produce a ton of steel differs for each mill. The time and cost for each mill are shown in the table below. Each month, Steelco must manufacture at least 500 tons of steel 1 and 600 tons of steel 2. Formulate an LP to minimize the cost of manufacturing the desired steel.Part 4-Network Problems(10)The U.S. government is auctioning off oil leases at two sites: 1 and 2. At each site, 100 000 acres of land are to be auctioned. Cliff Ewing, BlakeBarnes, and Alexis Pickens are bidding for the oil. Governmentrules state that no bidder can receive more than 40% of the land being auctioned. Cliff has bid $1,000/acre for site 1 land and $2,000/acre for site 2 land. Blake has bid $900/acre for site 1 land and $2,200/acre for site2 land. Alexis has bid $1,100/acrefor site 1 land and$1,900/acre for site 2 land. Formulate a balanced transportation model to maximize the government’s revenue. b.Use the minimum-cost method to find the basic feasible solution for this problem.Truckco manufactures two types of trucks: 1 and 2. Each truck must go through the painting shop and assembly shop. If the painting shop were completely devoted to painting Type 1 trucks, then 800 per day could be painted; if the painting shop were completely devoted to painting Type 2 trucks, then 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, then 1,500 per day could be assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck contributes $300 to profit; each Type 2 truck contributes $500. How much capacity in percent does a single truck of each type uses at each shop?
- QUESTION 2 CU, Incorporated (CUI), produces copper contacts that it uses in switches and relays. CUI needs to determine the order quantity, Q, to meet the annual demand at the lowest cost. The price of copper depends on the quantity ordered. Annual demand is 25,000 kilograms per year. Holding cost is 20 percent per unit per year of the price of copper and the Ordering cost is $30.00. Table 2 that follows, shows the quantity discount schedule price-break: Table 2- Quantity Discount Schedule Quantity (kg) 5,000 and greater than 5,000 3,750 to 4,999 2,500 to 3,749 1,250 to 2,499 1 to 1,249 Price ($) 0.38 0.39 0.40 0.41 0.42 Determine the optimal order size that you would order if you were purchasing copper from CUI.Problem 5. An Electricity board charges the following rates mentioned in the table for the use of electricity. All users are charged Taka 50 as a meter charge for every month. If any user wants to change/replace his meter, he will be charged taka 2000. The monthly bill will be generated based on ● Customer Category ● Consumed Units ● Phase ● For Category 3 and 5 along with other parameters, you need to also consider flat rate, peak time, and off-peak time. Take input from the user, how many units were consumed during flat rate, peak, or off-peak time. ● Meter Charge Write a program to read the name of the user, Customer Category, Phase, number of units consumed and print out the monthly bill. Note that ● Phase, flat rate, peak time and off-peak time will be appeared based on the customer category. ● The monthly bill will be calculated following the number of Days in a monthQuestion 3Assuming all Ghanaians who are at least 18 years can choose between going to school or learning a trade. GHC 100 is invested every month for a person who chooses to go to school by the government till the person attains age 30 years provided he/she completes university. If he/she does not complete university, the payment is stopped at the time he/she exited. If the person chooses to learn a trade, the government pays GHC 2000 as apprentice fee to the madam or master who will take the person as an apprentice, and invest GHC 70 a month till age 30 years. If the person does not complete the apprenticeship, the payment is stopped at the time he/she exited. Remember that persons who are less than 18 years or above 30 years do NOT qualify to enroll on this program.You are to write a java program for the above scenario. Your program should a) request a person’s name, age, what he/she wants to do 4(go to school or learn a trade), time of exit if any and disqualify the person if…