Find the optimal product mix.
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- A coal-fired Power Plant with a 3000 kW rated capacity costs Php 15000 per kW installed. Annual operating cost is Php 12000000, annual maintenance cost is Php 8000000, annual depreciation is Php 15000000, interest on investment per year is 8%, and cost of coal is Php 800 per ton. If one pound of coal is needed to generate 1 kW-hr, find the total annual cost to operate the plant. The plant capacity factor is 50 %.a. Php 46450000b. Php 43380000c. Php 40280000d. Php 423200004. The Spencer Optics Company produces an inexpensive line of sunglasses. The manufacturing process consists of assembling two plastic lenses (produced by the firm's plastic molding depart- ment) into a finished frame (purchased from an outside supplier). The company is interested in using material requirements planning to schedule its operations and has asked you to prepare an example to illustrate the technique. The firm's sales manager has prepared a 10-week sales forecast for one of the more popular sunglasses (the Classic model) for your example. The forecast is 100 units per week. Spencer has customer orders of 110 units, 80 units, 50 units, and 20 units in weeks 1, 2, 3, and 4, respectively. The sunglasses are assembled in batches of 300 units. Presently, three such batches are sched- uled: one in week 2, one in week 5, and one in week 8. Complete the following time-phased record: Week hand 1 2 3 4 5 6 7 8 9 10 Classic Model On MPS Record Forecast Orders Projected available…A machine shop has an order for 12 000 pcs of a machine part that requires anti-corrosive properties. Chromium steel alloy that cost Php. 95.00/kg or Nickel steel alloy that cost Php. 65.00/kg may be used. The weight per piece, production rate per day and tool bit replacement cost for Cr-alloy are: 0.25 kg, 75 pcs and Php. 1 600.00 for every 400 pcs produced. The respective date for Ni-alloy are 0.3 kg, 50 pcs and Php. 1 800.00 for every 300 pcs produced. If the charge for the labor and other operating cost is Php. 450.00/day, with all other expenses being the same, determine which material should be used.
- Today you got the budget approval from the Vice President to schedule the training session and pay Prof. Jim Salu his professional fee and reimburse him for expenses up to GH¢500.00. He will have to submit all receipts and an itemised list of expenses to be reimbursed. You cannot reimburse him if he does not have receipts. You also have to explain the mechanics of the training session. You will use the company conference room, which has a screen, flip charts an overhead projector and VCR, but you will need to reserve them if the Professor wants to use them. Write a letter to Professor Jim Salu. You do not have to persuade him since he had already informally agreed, but you do want him to look forward to the job and to do his best work.Orlando Regidor has applied for a mortgage to purchase a house and will go to settlement in two months. His loan can be “locked-in” at the current market interest rate of 8.5% at a cost of PhP10,000. He also has the option of waiting one month and locking-in at the current rate at that time at a cost of PhP5,000. Finally, he can choose to accept the current market rate at settlement in two months at no cost. Assume interest rates will either increase by 0.5% (30% probability), remain unchanged (50% probability), or decrease by 0.5% (20% probability) at the end one month. Rates can also increase, remain unchanged, or decrease by another 0.5% at the end on the second month. If rates increase after one month, the probability that they will increase, remain unchanged, and decrease at the end of the second month is 50%, 25%, and 25% respectively. If rates remain unchanged after one month, the probability that they will increase, remain unchanged, and decrease at the end of the second…A fully leased three-story suburban office building near Disneyworld had a total of 60,000 rentable square feet. Each of the three floors had an identical layout with two public bathrooms, an elevator lobby, and a public hallway that yielded a load factor per floor of 1.20. The lease form used for the building was written so that rent was paid by the tenants per usable square foot of rented floor space. If the total annual rental income for the building was $1.8 million, what was the monthly rent per usable square foot? a. $3.00 b. $3.60 c. $2.00 d. $2.40
- Suppose an Excel spreadsheet model has been partially created as shown below. 1 2 3 4 5 6 7 8 9 10 11 12 A From 0 0.2 0.5 0.9 B To 0.2 0.5 0.9 1 C Lead Time Probability Lead Time (in days) 1 2 3 4 0.2 0.3 0.4 0.1 D What formula should be used to generate a lead time (in days) from this distribution? =VLOOKUP(RAND(),A6:D9,3) =VLOOKUP(RAND(),A6:D9,4) =VLOOKUP(A6:A9,A6:D9,3) =VLOOKUP(A6:A9,A6:D9,4) EAn industrial engineer has designed two alternative methods for accomplishing a production job. Both methods involve the acquisition of the same working place and other capital equipment to be used for this job only. Method A calls for a crew consisting of three men each costing Php30/hr. This method will result in the production of 10 units per hour of which two will be reject. Method B calls for a crew of two men each costing Php35/hr and should result in the production of eight units per hour of which one will be reject. The cost of the direct material lost in each reject is Php20. If a certain total number of units is to be produced find which method is economical?A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.
- Prescribed fire is an important tool for foresters. A recent article describes how decision analysis is used to decide when, where and what to burn. In one example, a number of areas in the Tahoe National Forest in California had been logged and were being prepared for replanting. Preparation included prescribed burning, and two possible treatments were available: burning the slash as it lay on the ground, or “yarding of and merchantable material” (YUM) prior to burning. The latter treatment involves using heavy equipment to pile the slash. YUM reduces the difficulty of controlling the burn but costs an additional $100 per acre. In deciding between the two treatments two uncertainties were considered critical. The first was how the fire would behave under each scenario. For example, the buyer could be fully successful, problems could arise which could be controlled eventually, or the fire could escape entailing considerable losses. Second if problems developed, they could result in…A department is preparing a trip for 80 volunteers to an area affected by the typhoon. The transportation company to transit the volunteers has 8 vans of 15 seats each and 5 vans of 10 seats, but only has 15 drivers available. The rental cost for a large van is $150 and $100 for a small van. Calculate how many vans of each type should be used for the trip for the least possible cost. Question 1: What objective function will be used to evaluate the minimum cost? Question 2: Given the feasible region, how many corner points does the LP model generate? Question 3: Given the graph of the LP model, which of the following is not a corner point? (0,0), (0,8), (0,15) (15,0) Question 4: How many constraints, excluding the non-negative constraints, will be considered for the determination of the optimal solution? Question 5: What is the minimum cost referred to in the problem?The Special Addition Law can be used with which kinds of events?