If items being transported must go through an intermediate point before reaching a final destination, then this situation is known as a(n): transportation problem assignment problem intermediate point problem O transhipment problem
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- Problem 4 - Transshipment - Grandma's Cheese Shed (15%) Your team has recently accepted a consulting role at Grandma's Cheese Shed and has been tasked with helping their logistics department. Recently, Grandma's Cheese Shed has added two new cheeses as part of their "Grandmas Pack'n HEAT" line of spicy foods, these two cheeses are 'Carolina Reaper' Cheddar and 'Heat is Real' Muenster. These new cheese varieties have been so popular, Grandma's Cheese Shed has been struggling to keep them in stock. Your team is tasked with producing a transportation model to find the lowest possible daily cost of shipping these new spicy cheeses to the many cheese sheds scattered across Ohio. The head of the logistics department has provided you with some information to help your team build the transportation model. First, you are informed that while there are no capacity constraints associated with the company's two warehouses in Columbus and Canton, the connections between the various cheese factories,…26. Scheduling Five different charity organizations send trucks on various routes to pick up donations that residents leave on their doorsteps. Charity A covers Main St., First Ave., and State St. Charity B covers First Ave., Second Ave., and Third Ave. Charity C covers State t., City Dr., and Country Lane. Charity D covers City Dr., Second Ave., and Main St. Charity E covers Third Ave., Country Lane, and Fourth Ave. Each charity has its truck travel down all three streets on its route on the same day, but no two charities wish to visit the same streets on the same day. Use graph coloring to design a schedule for the charities. Arrange their pickup routes so that no street is visited twice on the same day by different charities. The schedule should use the least possible number of days.11 Staffing is always a concern for hospitals. Too much staff and money is wasted, if there is not enough staff, and there are shortages and people must be diverted to another hospital at a loss of earnings to the hospital. The needs can change by both season and the week of the month. Staffing has always been the same for each of the spring months. In an effort to determine if this is reasonable, the number of occupied beds for the first week of each of these months is being compared. Is there evidence that the number of occupied beds remains constant the first week of each of these months? March April May 190 147 143 182 137 150 186 135 146 179 143 151 170 154 143
- Arial BIUA 9.5 Intro to New Material Problem 1 An airline allows passengers to bring a suitcase that weighs less than 30 pounds onto the airplane for free. If a suitcase weighs 30 pounds or more, then the passenger will be charged a fee. Elena is going on a trip and is packing her suitcase. Her suitcase weighs 4.8 pounds when it is empty. 1. Elena packs 25 pounds in her suitcase and believes that she can safely avoid the fee. Is she correct? Explain your reasoning. 2. Write an inequality to represent the number of pounds that Elena can pack in her suitcase and not pay the fee. Workspace and Equation: Problem 1 Write here: Problem 2 !! II I!!19. MJ Corp has a store in the Park Green Center (PGC). The PGC has 4 stores. MJ Corp is in store 1, which has gross leasable area of 4,100 square feet. PGC has the following as well: store 2 with gross leasable area of 1,600 square feet, store 3 with gross leasable area of 1,900 square feet, store 4 with gross leasable area of 3,500 square feet, and common space of 1,200 square feet. How much is MJ Corp’s monthly rent if the firm pays $2.37 per square foot per month? Round your answer to the nearest cent (such as $123.45 or $9,876.54) and write it in the box.1. ARI Chemicals produces two products that are sold as raw materials to companies manufacturing bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demands for the coming month, ARI management specified that the combined production for products A and B must total at least 350 gallons. Separately, a major customer’s order of 125 gallons of product A must also be satisfied. Product A requires 2 hours of processing time per gallon and product B requires 1 hour of processing time per gallon. For the coming month, 600 hours of processing time are available. ARI's objective is to satisfy these requirements at a minimum total production cost. Production costs are $2 per gallon for product A and $3 per gallon for product B. - Generate the mathematical model for the optimal number of products A and B to be produced by ARI chemicals. - Create Graph
- A law form specialized in the issuance of insurance policies covering large commercial real estate projects. The projects fall into two categories: shopping centers, and medical complexes. The typical work involved in each transaction is quite predictable and repetitive. The time requirements (unit loads) for preparing a standard contract of each type are given in the following table. Also listed are the number of professionals of each type and the number of available hours per professional per day (the rest of time is taken by other office activities): Unit load Shopping (hour/contract) Unit load Medical (hour/contract) No. of professionals Hours available (hours/professional /day) Paralegal 4 6 4 6 Tax lawyer 1 3 3 8 Senior partner 1 1 2 4 For the month of Feb 2023, the firm has generated the 150 orders, 75 of each type. Assume one month equals 20 days. QUESTIONS What is the effective capacity of the process…A company must meet the following demands for a product: January, 30 units; February, 30 units; March, 20 units. Demand may be backlogged at a cost of $5/unit/month. All demand must be met by the end of March. Thus, if 1 unit of January demand is met during March, a backlogging cost of 5(2) production capacity and unit production cost during each month are given in Table 66. A holding cost of $20/unit is assessed on the inventory at the end of each month. 3 $10 is incurred. Monthly a Formulate a balanced transportation problem that could be used to determine how to minimize the total cost (including backlogging, holding, and production costs) of meeting demand. Use Vogel's method to find a basic feasible solution. Use the transportation simplex to determine how to meet each month's demand. Make sure to give an inter- pretation of your optimal solution (for example, 20 units of month 2 demand is met from month 1 production). C1. A small manufacturing plant makes three types of inflatable boats: one-person, two-person, and four-person models. Each boat requires the service of three departments, as listed on the table. The cutting, assembly, and packaging departments have a maximum of 380, 330, and 120 labor- hours per week, respective. Department One-Person Boat Two-Person Boat Four-Person Boat Cutting 0.5 hours 1.0 hours 1.5 hours Assembly 0.6 hours 0.9 hours 1.2 hours Packaging 0.2 hours 0.3 hours 0.5 hours How many boats of each type must be produced each week for the plant to operate at full capacity? Make sure to label the variables using a complete sentence, write the system of equations, write the corresponding augmented matrix, solve using matrix methods, and write your answer as a complete sentence (you might need to use the other side of the page)
