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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.Please formulate this problem as an LP. (Just formulation).The minimum-cost flow problem could be applied_________ Option- 1. by a telephone company attempting to lay out wires in a new housing development. 2. by a forest ranger seeking to minimize the risk of forest fires. 3. None of the choices. 4. by an airline laying out flight routes. 5. All of the choices are correct. Which of the following is not an assumption of a shortest path problem? 1. Associated with each link or arc is a nonnegative number called its length, 2. The objective is to find a shortest path from the origin to the destination. 3. The lines connecting certain pairs of nodes always allow travel in either direction. 4. None of the choices. 5. A path through the network must be chosen going from the origin to the destination.
- Briefly describe the planning techniques listed as follows, and give an advantage and disadvantagefor each:a. Spreadsheetb. Linear programmingc. SimulationIn aggregate planning models, we can model backlogging of demand by allowing a month's inventory to be negative. a. True b. False . Suppose the allowable increase and decrease for an objective coefficient of a decision variable that has a current value of $50 are $25 (increase) and $10 (decrease). If the coefficient were to change from $50 to $65, the optimal value of the objective function would not change. a. True b. False Shadow prices are associated with binding constraints and show the change in the optimal objective function value when the right side of the constraint equation changes by one unit. a. True b. False In a general logistics model that minimizes the cost of network flow, the flow balance constraint for each supply node has the form a. Flow in ≥ Flow out + Net supply b. Flow out ≥ Flow in + Net demand c. Flow in = Flow out d. Flow out ≤ Flow in +…Grey Manufacturing Company expects sales to total 13,000 units in the first quarter, 12,000 units inthe second quarter, and 15,000 units in the third quarter of the current fiscal year. Company policyis to have on hand at the end of each quarter an amount of inventory equal to 10% of the followingquarter’s sales. Given this information, how many units should be scheduled for production in thesecond quarter?
- Production and Materials Purchases Budgets White Corporation’s budget calls for the following sales for next year:Quarter 1 90,000 units Quarter 3 68,000 unitsQuarter 2 76,000 units Quarter 4 96,000 unitsEach unit of the product requires 3 pounds of direct materials. The company’s policy is to begineach quarter with an inventory of product equal to 5% of that quarter’s estimated sales requirementsand an inventory of direct materials equal to 20% of that quarter’s estimated direct materials requirements for production.Required Determine the production and materials purchases budgets for the second quarter.Maximize Profit=123 L + 136 S 17 L+11 S≤ 3000 6 L+9 S≤2500 L20 and S20 (Availability of component A) (Availability of component B) Show Transcribed Text Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce LaserStop models and SpeedBuster models. This solution gives the possible profit, which is $. (Type integers or decimals rounded to two decimal places as needed.)Suppose 100,000 lamps are to be manufactured annually. It costs $1 to store a lamp for 1 year, $500 to set up the factory to produce a batch of lamps and $5 to produce each lamp. A. If all lamps are produced in one batch find the total cost? B. If all lamps are produced in two batches of equal size, find the total cost? C. If the number of units in each batch is q, then how many batches are there? D. Find the number of lamps in each batch to minmize the total cost? E. What is the minimum cost? [ i need all answer i will upvote]
- An analyst has started preparing a spreadsheet as shown below. Column A contains the headings for various parameters and Column B contains the analyst's range names to be used in Excel. A B 1 Price per Unit 2 Cost per Unit 3 Profit per Unit PricePerUnit Cost_Per_Unit Profit per Unit 4 5 Fixed Costs Fixed_Costs 6 Variable Costs Variable Costs Label each of the following range names as "Correct" if is a valid range name in Excel or "Incorrect" if the range name is not valid for use in Excel. Proposed Range Name PricePerUnit Cost Per_Unit Profit per Unit Fixed_Costs Variable Costs6. Ah Seng Coffeeshop needs to decide in November 2021 how many Chinese New Year cups to order to sell at his coffeeshop. Because the cups are specially made for the year 2022 (year of the tiger), those that are unsold by end of February 2022 are considered a loss. These specially- designed cups sell for $23.95 and cost $6.75 each. Ah Seng is uncertain of the demand. He believes that there is a 25% chance that they will sell 10,000 cups, a 50% chance that they will sell 15,000 and a 25% chance that they will sell 20,000. a) Construct decision tree and cumulative risk profiles for the problem above using Precision Tree b) Now, assume that any unsold cups are discounted and can be sold for $5 after February 2022. How does this affect the decision?I need explaination and spreadsheet with formulas and step to step interpretation please.....The attached are first two pages of required assisance and below is the rest of instructions please consider all of them:c. Suppose the CEO says, “Projects 3 and 4 must be undertaken but not both.”Describe the constraint.d. Suppose the CEO says, “Projects 4 cannot be undertaken unless projects 1 and 3also are both undertaken.” Describe the constraints. Hint: You may need to add more than one constraint for this part.3. Multi-product Production Planning. Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows:Department Product 1 Product 2 Product 3A 1.50 3.00 2.00B 2.00 1.00 2.50C 0.25 0.25 0.25During the next production period, the labor-hours…