amyo Manufacturing produces four parts that require the use of a lathe and a drillpress. The two machines operate 10 hours a day. The following table provides the time inminutes required by each part:It is desired to balance the two machines by limiting thedifference between their total operation times to at most 30 minutes. The market demand for each part is at least 10 units. Additionally, the number of units of part 1 may not exceed that of part 2. b)Solve the following problems by B&B:Maximize ?=18?1+14?2+8?3+4?4subject to15?1+12?2+7?3+4?4+?5≤37?1,?2,?3,?4,?5=(0,1)               Part 6

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.

Vandelay Industries has 275 sales reps in order to sell its latex products, each to be assigned to one of four marketing teams. If the first team is to have four times as many members as the second team and the third team is to have five times as many members as the fourth team, how can the members be distributed among the teams?

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…

A call center has 60 employees on‐line, each of whom make one phone call every 3 min on average, and talk on average for 2 min. Each call costs 15¢. What is the total traffic in erlangs? How many circuits are required for a GoS of 1%? How much should the yearly (250 working days, 8 working hours a day) lease price be for the company to make a 50% saving in its telephone bills over the first 3 years? Assume the lease set‐up fee of $30,000 should be paid over a period of 3 years.

A Company supplies a range of cosmetics products and gives discounts on orders as follows: For order worth less than kshs 1000 a discount of 2% is given. For orders worth kshs 1000 and above a discount of 5% is given. These discount are only given if the customer's account is less than four weeks in arrears. If the account is more than eight weeks in arrears a pro- forma invoice must be sent and settled before dispatch. Required: Prepare a mixed entry decision table and convert it to pseudocodes for the information given above.

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?

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.

A coal mine purchased 3 years ago for $7 million was estimated to contain 4,000,000 tons of coal. During the past 3 years the amount of coal removed was 21,000, 18,000, and 20,000 tons, respectively. The gross income obtained in these 3 years was $257,000 for the first year, $320,000 for the second year, and $340,000 for the third year. What is the cost depletion allowance for year 1.