16 $ 20 $ 12 $ 200 A 14 $ 8$ 18$ 160 B 26 $ 24 $ 16 $ 90 C 180 120 150 450 DEMAND Formulate an initial feasible solution to for this company to minimize shipping costs using theNorthwest Corner Rule .
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- If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.Cost Activity. OMR A. Space Cost 4564000 B. Labour Cost 1600000 C. Equipment Cost 456000 D. Total Direct Cost 6620000 E. Overhead Cost 2122000 Calculate the following: 1. The cost per pallet space, on the basis of 21,000 x curo pallet spaces in the warchouse. 2. Labour cost, on the basis of 175,000 labour hours used annually by the warchouse 3. Equipment cost, on the basis of 115,000 equipment hours used annually by the warchouse. Costs must include overhead costs.A florist provides fresh flowers to shops in Wollongong. At present she has one nursery in Goulburn with capacity 9000 units a year. The florist is considering opening shops in Canberra and Sydney, and has found three potential nursery sites at Wagga, Orange and Bathurst. The transportation tableau below summarises the projected nursery capacities (units), the cost per unit of shipping from each nursery to each destination (dollars), and the demand (units) for the coming year. j=1 j=2 j=3 Sydney Capacities Wollongong Canberral 5 i=1 Goulburn 12 9000 i=2 Wagga 7 10 4000 i=3 Orange 4 7000 i=4 Bathurst 11000 Demand 11000 5000 8000 There are further constraints on how the nurseries can be located: • If a nursery is located in Wagga, another must be located in Bathurst and vice- versa. • One nursery can be located in Orange or Bathurst, but not both. Suppose that the costs of establishing new nurseries are Wagga $180,000 Orange $160,000 Bathurst $270,000 The goal is to develop a 0-1…
- A mining company exploits two types of minerals, its starting cost is $ 100,000. The cost per kg is $ 100 and $ 150 respectively. For safety, the overall maximum inventory should be 80,000 kg. Product 2 that requires a maximum inventory of $ 2,000,000 invested in warehouse. Consider that the monthly demand is 40,000 and 30,000 units respectively. The weekly cost of the inventory rate is 10% for the average inventory. The total inventory turnover policy must be greater than or equal to 50 (remember that inventory turnover is defined as the annual demand for all items expressed in dollars, divided by the average total inventory investment). Formulate the problem as a mathematical model that minimizes the total annual cost.Suppose that the R&B Beverage Company has a soft drink product that shows a constant annual demand rate of 3,600 cases. A case of the soft drink costs R&B $2. Ordering costs are $22 per order and holding costs are 26% of the value of the inventory. R&B has 250 working days per year, and the lead time is 5 days. Identify the following aspects of the inventory policy: Economic order quantity. If required, round your answer to two decimal places. Q* = fill in the blank 1 Reorder point. If required, round your answer to the nearest whole number. r = fill in the blank 2 Cycle time. If required, round your answer to two decimal places. T = fill in the blank 3 days Total annual cost. If required, round your answer to two decimal places. TC = $ fill in the blank 4The cost of materials for manufacturing a mobile is RO 4 per unit and the cost of labour cost is RO 3 per unit and cost of overheads per unit is RO 2 per unit. Fixed cost is RO 250. What is the total variable cost if the firm produces 600 mobiles? a. RO 3000 b. RO 4200 c. RO 5400 d. RO 5650
- A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Factory (capacity) A (100) B (75) C (100) D (250) Customer 1 (125) $15 A. $10,050 B. $9,000 C. $9,100 D. $8,950 E. $8,750 $20 $22 $21 Customer (requirement) Customer 2 Customer 3 (150) $10 $12 $20 $15 (175) $20 $19 $25 $28 Customer 4 (75) $17 $20 $14 $12 Note: This question requires Solver. Formulate the problem in Solver and find the optimal solution. What is the minimum total cost to meet all customer requirements?Bruno Fruscalzo decided to start a small production facility in Sydney to sell gelato to the local restaurants. His local milk supplier charges $0.50 per kilogram of milk plus a $15 delivery fee (the $15 fee is independent of the amount ordered). Bruno's holding cost is $0.03 per kilogram per month. He needs 8,250 kilograms of milk per month. Suppose Bruno orders 10,000 kilograms each time. What is his average inventory (in kilograms)? Suppose Bruno orders 6,250 kilograms each time. How many orders does he place with his supplier each year? Note: Round your answer to 1 decimal place. How many kilograms should Bruno order from his supplier with each order to minimize the sum of the ordering and holding costs? If Bruno's storage vessel can hold only 2,000 kilograms of milk, what would be Bruno's annual ordering and holding costs if he orders this amount? If Bruno's storage vessel can hold only 7, 000 kilograms of milk, what would be Bruno's annual ordering and holding costs if he orders…5. A company sells four types of boxes (B1,.B4) ranging in size from 24 to 33 cubic feet (size is measured as volume). The demand and size of each box is given in the table below. The variable cost (in dollars) of producing each box is equal to the box's volume. A fixed cost of $1,000 is incurred to produce any of a particular box. If the company desires, demand for a box may be satisfied by a box of larger size. Formulate and solve a shortest-path problem whose solution will minimize the cost of meeting the demand for boxes. B1 B2 B3 B4 Size 33 30 26 24 Demand 400 300 500 700 Considering that this problem can be formulated as a shortest path model, answer the following questions: Define nodes, arcs, and arc properties in words. Calculate all arc costs and show your calculations in detail. Draw the network graph showing the relevant parameter values on the network. • Formulate the shortest-path model for this problem.
- A company makes a single product on two separate production lines, A and B. Its labor force is equivalent to 1100 hoursper week, and it has $2800 outlay weekly on operating costs. It takes 1 hour and 5 hours to produce a single item on linesA and B, respectively. The cost of producing a single item is $8 on line A and $6 on line B. (Let the x refer to the number ofitems on line A and y refer to the number of items on line B.) (a) Write the inequality that expresses the labor information. (b) Write the inequality that expresses the cost information.Operations Research 1Do as IndicatedStudent tuition at Boehring University is $150 per semester credit hour. The state supplements school revenue by $90 per semester credit hour. Average class size for a typical 3-credit course is 60 students. Labor costs are $5,000 per class, materials costs are $20 per student per class, and overhead costs are $25,000 per class. The multifactor productivity ratio currently is 1.38 and the labor productivity ratio is $192.86 per hour if the instructors work on an average of 14 hours per week for 16 weeks for each 3-credit class of 60 students. Coach Bjourn Toulouse led the Big Red Herrings to several disappointing football seasons. Only better recruiting will return the Big Red Herrings to winning form. Because of the current state of the program, Boehring University fans are unlikely to support increases in the $192 season ticket price. Improved recruitment will increase overhead costs to $32,000 per class section from the current $25,000 per class section. The…