Week 2 _BUSN312
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Week 2 – Linear Programming
Sebastian Blalock American Military University BUSN312: Operations Research
Dr. Shelley Pumphrey
13 May, 2024
2
Problem 1: Objective:
Z = 300R
1 + 400R
2 Constraints: Input Crude A: 5R
1
+ 4R
2
≤ 200
Input Crude B: 3R
1
+ 5R
2
≤ 150
Output Gasoline X: 5R
1
+ 4R
2 ≥ 100
Output Gasoline Y: 8R
1
+ 4R
2 ≥ 80
Non-Negative Constraints:
R
1 R
2 ≥ 0
Problem 2:
Objective: Z = X
1 + X
2
+ X
3
+ X
4
+ X
5
+ X
6
Constraints:
Requirements for each period: X
1
+ X
6
≥ 20 (period 1)
X
2
+ X
1 ≥ 50 (period 2)
X
3
+ X
2 ≥ 80 (period 3)
X
4
+ X
3 ≥ 100 (period 4)
X
5
+ X
4 ≥ 40 (period 5)
X
6
+ X
5 ≥ 30 (period 6)
Each Police Officer works eight consecutive hours:
X
1
+ X
2
+ X
6
≥ 8 (beginning at period 1)
X
2
+ X
3
+ X
1
≥ 8 (beginning at period 2)
X
3
+ X
4
+ X
2
≥ 8 (beginning at period 3)
X
4
+ X
5
+ X
3
≥ 8 (beginning at period 4)
X
5
+ X
6
+ X
4
≥ 8 (beginning at period 5)
X
6
+ X
1
+ X
5
≥ 8 (beginning at period 6)
Non-Negative Constraints:
X
1 ,X
2 ,X
3 ,X
4 ,X
5 ,X
6 ≥ 0
3
Problem 3: Objective: Z = (0.8 x (80,000 – 60,000) x X
1
) + (0.9 x (175,000 – 150,000) x X
2
) + (0.6 x (75,000 – 55,000) x X
3
) + (0.5 x (250,000 – 220,000) x X
4
)
Simplified to (Z = (16000X
1
) + (22500X
2
) + (12000X
3
) + (15000X
4
))
Constraints: X
1 = 3X
2
X
2
= 2X
3
X
4
= 2X
3
Non-negative Constraints:
X
1
,X
2 ,X
3 ,X
4
≥ 0
Problem 4:
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- Break even point solve properarrow_forward4Homework: Project Analysis As X 9 Question 2 - Homework: Projec X %3D heducation.com/ext/map/index.html?_con=con&external_browser=0&launchUrl=https%253A%252F%252Flms.mheducation.com%252F... O * O Project Analysis Assignment i 1 Saved Help Save & Exit Submit Check my work A project currently generates sales of $18 million, variable costs equal 60% of sales, and fixed costs are $3.6 million. The firm's tax rate is 35%. Assume all sales and expenses are cash items. a. What are the effects on cash flow, if sales increase from $18 million to $19.8 million? (Input the amount as positive value. Enter your answer in dollars not in millions.) Cash flow increases by $ 47,000 b. What are the effects on cash flow, if variable costs increase to 70% of sales? (Input the amount as positive value. Enter your answer in dollars not in millions.) decreases | by s 2$ 117,000 Cash flowarrow_forwardlod X * CengageNOWv2 | On x 6 Cengage Learning B Milestone Two Guidel x G module 5 problem set x lrn/takeAssignment/takeAssignmentMain.do?invoker=&takeAssignmentSessionLocator=.. 向 еВBook Show Me How Units-of-activity Depreciation A truck acquired at a cost of $180,000 has an estimated residual value of $9,850, has an estimated useful life of 41,000 miles, was driven 3,300 miles during the year. Determine the following. If required, round your answer for the depreciation rate to two decimal places. (a) The depreciable cost (b) The depreciation rate per mile (c) The units-of-activity depreciation for the year Next Previous 33 Check My Work A O E O 11/2 56°F Mostly cloudy %23arrow_forward
- - Main View | Course X * CengageNOWV2| Online teachin X University of Sioux Falls, South D x - genow.com/ilrn/takeAssignment/takeAssignmentMain.do?invoker=&takeAssignmentSessionLocator%3D&inpro... eBook Average Rate of Return-Cost Savings Maui Fabricators Inc. is considering an investment in equipment that will replace direct labor. The equipment has a cost of $90,000 with a $8,000 residual value and a ten-year life. The equipment will replace one employee who has an average wage of $15,980 per year. In addition, the equipment will have operating and energy costs of $4,350 per year. Determine the average rate of return on the equipment, giving effect to straight-line depreciation on the investment. If required, round to the nearest whole percent. ICarrow_forwardM Question 6- QUIZ- CH 18-C X Project 6 x .mheducation.com/ext/map/index.html?_con=con&external_browser=0&launchUrl=https%253A%252F%252Fbb.tulsacc.edu%252Fw... 18 es Saved Help Save Exercises 18-41 (Algo) Allocation of Central Costs; Profit Centers [LO 18-3] Woodland Hotels Incorporated operates four resorts in the heavily wooded areas of northern California. The resorts are named after the predominant trees at the resort: Pine Valley, Oak Glen, Mimosa, and Birch Glen. Woodland allocates its central office costs to each of the four resorts according to the annual revenue the resort generates. For the current year, the central office costs (000s omitted) were as follows: Front office personnel (desk, clerks, etc.) Administrative and executive salaries Interest on resort purchase Advertising Housekeeping Depreciation on reservations computer Room maintenance Carpet-cleaning contract Contract to repaint rooms $ 12,100 5,700 4,700 600 3,700 80 1,210 50 570 $ 28,710 Revenue (000s) Square…arrow_forwardActivity Frame B r = 11% 0 1 2 3 4 40% Prob Good 20.000 26.000 26.000 26.000 26.000 20,000 (r = 8%) Bad 60% Prob. 20.000 7.000 7.000 0 0arrow_forward
- HW 5 Quadratic Functions and Optimization in Quadratic Models: Problem 14 (3 points) Results for this submission Entered Answer Preview 24.14 24.14 Result incorrect incorrect At least one of the answers above is NOT correct. 1 of the questions remains unanswered. An average of 20,000 people visit Riverside Park each day in the summer. The park charges $18.00 for admission. Consultants predict that for each $1.00 increase in the entrance price, the park would lose an average of 3, 500 customers per day. (a) Express the daily revenue from ticket sales, R as a function of the number of $1.00 price increases, . R = f(x)= (b) What ticket price maximizes the revenue from ticket sales? $ (round to nearest cent) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 8 times. You received a score of 0% for this attempt. Your overall recorded score is 0%. You have unlimited attempts remaining. k Page generated…arrow_forwardSimilar Questions | bartleby × Master Budget Preparation × + EDChatGPT 7° https://chatgpt.com/c/6718fea8-b460-8005-8972-35def9b0814a Q Search 1. Sales Forecast: The firm sells a single product at $60 per unit. The sales forecast for the upcoming months, starting from April, shows the projected number of units sold. For July to September, the sales are: . July: 31,200 units . August: 33,600 units • September: 33,600 units 2. Collections: Sales are collected as follows: 40% in the month of the sale, 40% in the following month, and 20% two months after the sale. 3. Inventories: On 1 July 2024, the company will have 10,800 units of finished goods inventory. The ending inventory for finished goods should be 20% of the sales for the next 3 months. The ending raw material inventory should be 40% of the next month's production. The company owes $196,800 for material purchases as of 1 July 2024. 4. Expenses: . . Variable selling expenses are 5% of sales. Administrative expenses are $126,000 per…arrow_forwardHow to solve this question?arrow_forward
- Introduction te X Math Fundam x O The Finance St X Foundations o x C Seafood - Eat X G Wakefield, Rhc X Login A v2.cengagenow.com/ilrn/takeAssignment/takeAssignmentMain.do?invoker=&takeAssignmentSessionLocator=&inprogress=false CengageNOW Chapter 17 Homework eВook Show Me How Costs per Equivalent Unit The following information concerns production in the Baking Department for December. All direct materials are placed in process at the beginning of production. ACCOUNT Work In Process-Baking Department ACCOUNT NO. Date Item Balance Debit Credit Debit Credit Dec. 1 Bal., 8,700 units, 2/5 completed 19,140 31 Direct materials, 156,600 units 297,540 316,680 31 Direct labor 82,180 398,860 31 Factory overhead 46,220 445,080 31 Goods finished, 158,700 units 428,316 16,764 31 Bal., ? units, 4/5 completed * 16,764 a. Based on the above data, determine each cost listed below. Round "cost per equivalent unit answers to the nearest cent. 1. Direct materials cost per equivalent unit 2. Conversion cost…arrow_forwardOutput TFC TVC TC AFC AVC ATC MC 1 2 3 st 4 5 4 20 20 5 11 ??? 5 Refer to the following table. What is the average total cost of producing the 3rd unit of the good? $6 $5.33 $1.33 $4arrow_forwardE S2 Project Management.pdf DF S3 Product design pdf S3A Learning curves.pdf A 54 Process analysis & job desı X Fosya | C:/Users/alzey/Desktop/Fundamentals%20of%20Production%20Management/S1%20OM%20concepts%20and%20operatio.. O E A) Sesli oku V Çız v 9 Vurgula v O Sil A U.S. MANUFACTURING COMPANY OPERATINGA SUBSIDIARY IN AN LDC (LESS DEVELOPED COUNTRY) SHOWS THE FOLLOWING RESULTS: LDC 20 000 U.S. 100 000 SALES (UNITS) LABOR (HOURS) RAW MATERIALS (CURRENCY) CAPITAL REQUIREMENTS (HOURS) 20 000 15 000 $20 000 FC 20 000 60 000 5 000 A) CALCULATE PARTIAL LABOR PRODUCTIVITY AND CAPITAL PRODUCTIVITY FIGURES FOR THE PARENT AND SU BSIDIARY. DO THE RESULTS SEEM MISLEADING? B) NOW COMPUTE THE MULTIFACTOR PRODUCTIVITY FIGURES FOR LABOR AND CAPITAL TOGETHER. ARE THE RESULTS BETTER? C) FINALLY, CALCULATE RAW MATERIAL PRODUCTIVITY FIGURES (UNIT/S WHERE $1 = FC 10). EXPLAIN WHY THESE FIGURES MIGHT BE GREATER IN THE SUBSIDIARY. aya yazinarrow_forward
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