I need the answer in Python at least within 6 hours. Red Tomato Tools, a small manufacturer of gardening equipment with manufacturing facilities in Mexico.Red Tomato's products are sold through retailers in the United States. Red Tomato's operations consistof the assembly of purchased parts into a multipurpose gardening tool. Because of the limited equipmentand space required for its assembly operations, Red Tomato's capacity is determined mainly by the sizeof its workforce.The demand for Red Tomato's gardening tools from consumers is highly seasonal, peaking in the springas people plant their gardens. This seasonal demand ripples up the supply chain from the retailer to RedTomato, the manufacturer. Red Tomato has decided to use aggregate planning to overcome the obstacleof seasonal demand and maximize profits. The options Red Tomato has for handling the seasonality areadding workers during the peak season, subcontracting out some of the work, building up inventoryduring the slow months, or building up a backlog of orders that will be delivered late to customers. Todetermine how to best use these options through an aggregate plan, Red Tomato's vice president ofsupply chain starts with the first task building a demand forecast. Although Red Tomato could attempt toforecast this demand itself, a much more accurate forecast comes from a collaborative process used byboth Red Tomato and its retailers to produce the forecast shown in Table 1.Table 1, Demand Forecast at Red Tomato ToolsDemand Forecast1600MonthJanuaryFebruary 3000March3200AprilMay38002200June220Red Tomato sells each tool to the retailers for $40. The company has a starting inventory in January of1,000 tools. At the beginning of January the company has a workforce of 80 employees. The plant has atotal of 20 working days in each month, and each employee earns $4 per hour regular time. Eachemployee works eight hours per day on straight time and the rest on overtime. As discussed previously,the capacity of the production operation is determined primarily by the total labor hours worked.Therefore, machine capacity does not limit the capacity of the production operation. Because of laborrules, no employee works more than 10 hours of overtime per month. The various costs are shown inTable 2.Currently, Red Tomato has no limits on subcontracting, inventories, and stockouts/ backlog. All stockoutsare backlogged and supplied from the following months' production. Inventory costs are incurred on theending inventory in the month. The supply chain manager's goal is to obtain the optimal aggregate plan that allows Red Tomato to end June with at least 500 units (i.e., no stockouts at the end of June and atleast 500 units in inventory).The optimal aggregate plan is one that results in the highest profit over the six months planning horizon.For now, given Red Tomato's desire for a very high level of customer service, assume all demand is to bemet, although it can be met late. Therefore, the revenues earned over the planning horizon are fixed. Asa result, minimizing cost over the planning horizon is the same as maximizing profit. In many instances, acompany has the option of not meeting certain demand, or price itself may be a variable that a companyhas to determine based on the aggregate plan. In such a scenario, minimizing cost is not equivalent tomaximizing profits.Table 2, Costs for Red TomatoItemCostMaterial cost$10/unitInventory holding cost$8/unit/monthMarginal cost of stock out/backlog $15/unit/monthHiring and training costs$300/workerLayoff cost$500/workerLabor hours required4hrs/unitRegular time cost$4/hourOvertime cost$6/hourCost of subcontracting$30/unitUse the following notations:Decision Variables:W, = Workforce size for month :H, = Number of employees hired at the beginning ofmonth :L, = Number of employees laid off at the beginning ofmonth :P, = Number of units produced in month :I, = Inventory at the end of month iS, = Number of units stocked out at the end of month :C, = Number of units subcontracted for month :0, = Number of overtime hours worked in month :Required:Formulate linear programing model that will minimize the total cost, and solve it using Python (docplexlibrary).Note: Summarize your results in a table that shows your decision variables obtained each month such theworking force, hired /fired employees, number of units produced,.

Answer: Below given is the LINGO PROGRAM code: Model: Max = Total_profit; Total_profit = Revenue -…

Red Tomato Tools, a small manufacturer of gardening equipment with manufacturing facilities in Mexico. Red Tomato's products are sold through retailers in the United States. Red Tomato's operations consist of the assembly of purchased parts into a multipurpose gardening tool. Because of the limited equipment and space required for its assembly operations, Red Tomato's capacity is determined mainly by the size of its workforce. The demand for Red Tomato's gardening tools from consumers is highly seasonal, peaking in the spring as people plant their gardens. This seasonal demand ripples up the supply chain from the retailer to Red Tomato, the manufacturer. Red Tomato has decided to use aggregate planning to overcome the obstacle of seasonal demand and maximize profits. The options Red Tomato has for handling the seasonality are adding workers during the peak season, subcontracting out some of the work, building up inventory during the slow months, or building up a backlog of orders that will be delivered late to customers. To determine how to best use these options through an aggregate plan, Red Tomato's vice president of supply chain starts with the first task building a demand forecast. Although Red Tomato could attempt to forecast this demand itself, a much more accurate forecast comes from a collaborative process used by both Red Tomato and its retailers to produce the forecast shown in Table 1.

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...