(b) Solve the model formulated in part (a). What is the optimal net present value (in millions of dollars)? million Which projects will be undertaken? (Enter your answer as a comma separated list of numbers. Use 1 for p for project 2, 3 for project 3, 4 for project 4, 5 for project 5, and 6 for project 6.) How much of the budget is unused (in millions of dollars)? million
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- 7. Your company is considering the introduction of a new product line. The initial investment required for this project is $500,000, and annual maintenance costs are anticipated to be $35,000. Annual operating cost will be in direct proportion to the level of production at $8.50 per unit, and each unit of product can be sold for $50.00. If the project has a life of 7 years, what is the minimum annual production level for which this project is economically viable? Work this problem on an after-tax basis. Assume 5-year SL depreciation (SV5=0), MV7 = 0, an effective income tax rate of 40%, and an after-tax MARR of 10% per year.Lorraine has received a lump sum of R500 000.00 from her retirement fund. She intends to usethese funds to start a student accommodation business. In order to start this business, Lorrainewould need approximately R1 million, funds are needed for building the students accommodationapartments and to register with various regulatory bodies. She has to source additional funding inorder to realise this dream. In the business plan, Lorraine has outlined the following:• Accommodation will be offered ONLY to students in Cape Town, Johannesburg,Mpumalanga and Polokwane.• ONLY females will be approved to reside in these houses, between the age of 18 - 35.• Marketing of the business will be done on community Radio stations only at the fourmentioned cities.• It is going to be a family business, Friends and relatives are in support of the idea but arenot able to support the business financially There are three types of Market coverage. Explain the type of market coverageapplicable to Lorraine’s…CVP Analysis Lawn Master Company, a manufacturer of riding lawn mowers, has a projectedincome for the coming year as follows:Sales $46,000,000Operating expenses:Variable expenses $32,200,000Fixed expenses 7,500,000Total expenses 39,700,000Operating profit $ 6,300,000Required1. Determine the breakeven point in sales dollars.2. Determine the required sales in dollars to earn a before-tax profit of $8,000,000.3. What is the breakeven point in sales dollars if the variable expenses increases by 12%?
- Nikos Anastopoulos of EMPROSS Strategic IT Consultants, leads the development of a new football stadium. He developed the activities, durations, and predecessor relationships in the following table for delivering company valuations. Activity A B C D E F G H 1 J K L ES ID EF ¤¯¯ SL SL LS Time LF Predecessor A, B C E F E D D, G, I 1 Duration in Weeks 5 3 8 3 4 10 8 18 20 7 5 10 6A. Draw the Network Diagram, and identify and discuss the project duration and the critical path using the following activity notation7-3. Nowjuice, Inc., produces Shakewell fruit juice. A planner has developed an aggregate forecast for demand (in cases) for the next eight months. month Apr forecast 4500 May 4400 Jun 6200 Jul 6400 Aug 5800 Sep 6600 Oct 7200 Nov 6900 Use the following information to develop aggregate plans. Regular production cost: $10.00 per case Regular production capacity: 5,000 cases Overtime production cost: $16 per case Subcontracting cost: $20 per case Holding cost: $1 per case per month Beginning inventory: 0 Develop an aggregate plan using each of the following guidelines and compute the total cost for each plan. Which plan has the lowest total cost? (a) Use level production of 5,000 case per month. Supplement using overtime as needed (b) Use a combination of overtime (500 cases per month for the first five months), inventory, and subcontracting (500 cases per month from September to November, if necessary) to handle variations in demand. Note that suitable amounts of overtime for the last…Preliminary plans are under way for the construction of a new stadium for a major league baseball team. City officials have questioned the number and profitability of the luxury corporate boxes planned for the upper deck of the stadium. Corporations and selected individuals may buy the boxes for $320,000 each. The fixed construction cost for the upper deck area is estimated to be $5,760,000, with a variable cost of $160,000 for each box constructed. (a) What is the break-even point for the number of luxury boxes in the new stadium? X = (b) Preliminary drawings for the stadium show that space is available for the construction of up to 48 luxury boxes. Promoters indicate that buyers are available and that all 48 could be sold if constructed. (1) What is your recommendation concerning the construction of luxury boxes? O Build the luxury boxes. O Do not build the luxury boxes. (ii) What profit is anticipated (in dollars)? (Enter a negative value if a predicted loss.) $
- The Silver Star Bicycle Company will be manufacturing both men's and women's models of its Easy-Pedal 10-speed bicycles during the next two months. Management wants to develop a production schedule indicating how many bicycles of each model should be produced in each month. Current demand forecasts call for 150 men's and 125 women's models to be shipped during the first month and 200 men's and 150 women's models to be shipped during the second month. Additional data are shown: Production Labor Requirements (hours) Current Model Costs Manufacturing Assembly Inventory Men's $120 2.0 1.5 20 Women's $90 1.6 1.0 30 Last month the company used a total of 1000 hours of labor. The company's labor relations policy will not allow the combined total hours of labor (manufacturing plus assembly) to increase or decrease by more than 100 hours from month to month. In addition, the company charges monthly inventory at the rate of 2% of the production cost based on the inventory levels at the end of…Variable cells Cell Name $B$6 $C$6 $D$6 $E$2 Activity 1 Constraints $E$3 Activity 2 Cell Name $E$4 Activity 3 Resource A Resource B Resource C Final Reduced Value Cost 3 6 0 0 0 -7 30 6 18 0 Objective Allowable Allowable Coefficient Increase Decrease 30 20 7.78 20 O the shadow price is not valid. 40 20 O the shadow price is valid. Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 30 O the original solution remains optimal. 40 23 50 7 10 50 17 10 1E+30 the problem must be resolved to find the optimal solution. 12.5 10 1E+30 22Jerusalem Medical Ltd., an Israeli producer of port-able kidney dialysis units and other medical products, develops a 4-month aggregate plan. Demand and capacity (in units) areforecast as follows:CAPACITYSOURCE MONTH 1 MONTH 2 MONTH 3 MONTH 4LaborRegular time 235 255 290 300Overtime 20 24 26 24Subcontract 12 15 15 17Demand 255 294 321 301The cost of producing each dialysis unit is $985 on regular time, $1,310 on overtime, and $1,500 on a subcontract. Inventory car-rying cost is $100 per unit per month. There is to be no beginning or ending inventory in stock and backorders are not permitted. Set up a production plan that minimizes cost using the transpor-tation method.
- Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 0 425 500 1E+30 425 $C$6 Activity 2 27.5 0.0 300 500 300 $D$6 Activity 3 0 250 400 1E+30 250 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Benefit A 110 0 60 50 1E+30 $E$3 Benefit B 110 75 110 1E+30 46 $E$4 Benefit C 137.5 0 80 57.5 1E+30 If the coefficient for Activity 1 in the objective function changes to $50, then the objective function value: Multiple Choice will decrease by $450. is $0. will decrease by $2750. will remain the same. can only be discovered by resolving the problem.A manager is attempting to put together an aggregate plan for the coming nine months. She has obtained a forecast of expected demand for the planning horizon. The plan must deal with highly seasonal demand; demand is relatively high in periods 3 and 4 and again in period 8, as can be seen from the following forecasts: Period 1 2 3 4 5 6 7 8 9 Total Forecast 190 230 260 280 210 170 160 260 180 1,940 The department now has 20 full-time employees, each of whom can produce 10 units of output per period at a cost of $6 per unit. Inventory carrying cost is $5 per unit per period, and backlog cost is $10 per unit per period. The manager is considering a plan that would involve hiring two people to start working in period 1, one on a temporary basis who would work only through period 5. This would cost $500 in addition to unit production costs. a. What is the rationale for this plan?Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 What is the optimal objective function value for this problem?