\begin{tabular}{|l|l|l|l|} \hline insestment & \( \$ 00,000 \) & \( \$ 50,006 \) & \( \$ 30,000 \) \\ \hline It fistory & \( \$ 40,000 \) & \( \$ 00,000 \) & \( \$ 40,000 \) \\ \hline & & \( \$ 30,000 \) & \( \$ 15,000 \) \\ \hline \end{tabular} hat decision can the investor make for thadeitaking investment" A Commersial farming B. Cement hatory D. No decision can be made f.. \( A \) and \( B \) C. Hotel invesiment hat decisiot can be made if the declsion maker pretern to make decision using spected opportunity loss? A Hotel inve thent D. \( A \) und \( B \) B. Cement hacrery E. \( B \) and \( C \) C. Commercillamming ne of the following in nat true about project networks. A. They illustrale the way in which the parts of the project are organized B. They can be used to determine the time duration of the projects C. They help Io identily critical netivities D They help io sitimate the amount of slack associared with non-critteal activities E. None of the above he following are (rue abour dual in linear programming model except: A. If the origimal problem is a maximization problem then the dual problem is minimization problem B. If the onfinal proslem if a minmmization problem then the dual problem is maximization problem C. The dual firoblem will ecintain the solution to the dual problem but not to the original prohlem D. The number of constrains in the orifinal problem is cqual to the number of dual variables, E. All of the abs)ve hich of the following solution method of Iransportation problem is based on the ncept of penaly cost or regret?
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1a. In a linear programming model, the parameter values in an objective function are referred to as the: objective function coefficients. parameter function. constraint coefficients. quantitative function. 1b. Constraints with slack or surplus in the linear programming solutions are called binding constraints. TRUE or FALSE 1c. As a manager, Mike uses linear programming (LP) to formulate a problem into a series of mathematical expressions. __________ refers to the choices or alternatives Mike selects to minimize or maximize the value of his goals. Objective function Decision variables Optimization Feasible region 1d. Numerical values that are associated with the objective function, decision variables, and constraints are called __________. parameters binary values assumptions 1e. The first step in performing linear programming is to generate random numbers. to formulate a problem into a series of mathematical expressions. to create intervals. to analyze the file for patterns. 1f. Lane Accessories has a growing demand for custom Apple watch designer bands. The current manufacturing costs are $120 per hour to operate. For each hour of operation, 210 black band designs and 180 multi-color designs are completed. However, Lane found a new larger manufacturing space that will cost $160 per hour and produce 325 black design bands and 289 multi-color bands per hour completed. Lane has newly placed orders to restock other retail outlets nationwide for 6,000 black band designs and 5,000 multi-color bands. Because Lane is out of inventory, she needs to decide how many hours to operate each facility to fulfill orders while minimizing cost. Formulate the orders for black design bands. 210x1 + 325x2 ≥ 6,000 180x1 + 289x2 ≥ 5,000 1g. Which one of the following is not an essential component of linear programming? random an objective function decision variables constraints 1h. The objective function is a mathematical representation of an objective. TRUE or FALSE 1i. At Taste of Thyme coffee shop, a dirty chai latte creates a profit of $2.85 for a small and $3.80 for a large. In a month, 200 small lattes were sold and 285 large lattes. As a fast-growing demand item with fall approaching, the demand is estimated at 400 and 420 per month. The allotted machine time for both lattes is 90 hours. The amount of machine time needed to produce the lattes is 5 minutes and 7 minutes each or for a month, 16.67 hours a month for a small and 33.25 hours a month for a large. What is the corresponding parameter formulation for machine time? 5x1 + 7x2 ≤ 90 16.67x1 + 33.25x2 ≤ 90
Md.Daniyal A.
Warren Buffy is an enormously wealthy investor who has built his fortune through his legendary investing acumen. He currently has been offered three major investments and he would like to choose one. The first one is a conservative investment that would perform very well in an improving economy and only suffer a small loss in a worsening economy. The second is a speculative investment that would perform extremely well in an improving economy but would do very badly in a worsening economy. The third is a counter-cyclical investment that would lose some money in an improving economy but would perform well in a worsening economy. Warren believes that there are three possible scenarios over the lives of these potential investments: (1) an improving economy, (2) a stable economy, and (3) a worsening economy. He is pessimistic about where the economy is headed, and so has assigned probabilities of 0.37, 0.42, and 0.21, respectively, to these three scenarios. He also estimates that his profits (in millions of dollars) under these respective scenarios are those given by the following table: Investment | Improving Economy | Stable Economy | Worsening Economy --- | --- | --- | --- Conservative | 0 | 0 | 0 Speculative | 30 | 15 | -15 Counter-cyclical | 30 | 10 | -5 Probability | 0.37 | 0.42 | 0.21
Croup C.
Various cost-behavior patterns. (CPA, adapted) Select the graph that matches the numbered manufacturing cost data (requirements 1-9). Indicate by letter which graph best fits the situation or item described. The vertical axes of the graphs represent total cost, and the horizontal axes represent units produced during a calendar year. In each case, the zero point of dollars and production is at the intersection of the two axes. The graphs may be used more than once. 1. Annual depreciation of equipment, where the amount of depreciation charged is computed by the machine-hours method. 2. Electricity bill-a flat fixed charge, plus a variable cost after a certain number of kilowatt-hours are used, in which the quantity of kilowatt-hours used varies proportionately with quantity of units produced. 3. City water bill, which is computed as follows: The gallons of water used vary proportionately with the quantity of production output. 4. cost of direct materials, where direct material cost per unit produced decreases with each pound of material used (for example, if 1 pound is used, the cost is $\$ 10$; if 2 pounds are used, the cost is $\$ 19.98$; if 3 pounds are used, the cost is $\$ 29.94$, with a minimum cost per unit of $\$ 9.20$ 5. Annual depreciation of equipment, where the amount is computed by the straight-line method. When the depreciation schedule was prepared, it was anticipated that the obsolescence factor would be greater than the wear-and-tear factor. 6. Rent on a manufacturing plant donated by the city, where the agreement calls for a fixed-fee payment unless 200,000 labor-hours are worked, in which case no rent is paid. 7. Salaries of repair personnel, where one person is needed for every 1,000 machine-hours or less (that is, 0 to 1,000 hours requires one person, 1,001 to 2,000 hours requires two people, and so onl. 8. cost of direct materials used (assume no quantity discounts). 9. Rent on a manufacturing plant donated by the county, where the agreement calls for rent of $\$ 100,000$ to be reduced by $\$ 1$ for each direct manufacturing labor-hour worked in excess of 200,000 hours, but a minimum rental fee of $\$ 20,000$ must be paid.
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