A minimization Linear Programming (LP) model with two integer decision variables x1 and x2 has an optimal solution with the objective function value of 16. If we do not restrict x1 and x2 to be integers, which of the following COULD be the new optimal objective function value?
Q: Michael has decided to invest $40,000 in three types of funds. Fund A has projected an annual return…
A:
Q: A plant is being built to manufacture two product families A and B. The facility must produce…
A: A. DA=DB=100,000/yearC1= $125,000C2= $65,000C3= $180,000 Let xij= the number of units of technology…
Q: Heller Manufacturing has two production facilities that manufacture baseball gloves. Production…
A: Linear programming (LP) is a mathematical optimization technique used to find the best possible…
Q: Refer to the following payoff table in which D1 through D4 represent decision alternatives, S1…
A: Here, I am given the payoff table, I will find the optimal decision under each specific criterion,…
Q: Suppose a company has two plants to produce a product and send to three warehouses. Each plant has a…
A: Plants Corpus Dallas Kingsville Capacity San Antonio 32 33 55 20 Houston 20 29 22 20 Demand 10…
Q: Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the…
A: Given data is Available labor hours for metalwork = 108 Available labor hours for painting= 90…
Q: A company is considering two options for supplying a product to three markets, Markets 1, 2, and 3,…
A: Given data: There are three markets 1,2,3 The demand in each of the three markets can be either 50…
Q: (a) Develop a linear programming model for this problem; be sure to define the variables in your…
A: Decision Variables:
Q: Two companies are producing widgets. It costs the first company q12 dollars to produce q1 widgets…
A: Given: First company Second company q12 dollars 0.5q22 dollars
Q: a. Using the decision variables x4 and s4, write a constraint that limits next week's production of…
A: ANSWER IS AS BELOW:
Q: TRUE OR FALSE * TRUE FALSE The first step of decision making is to identify and define the problem.…
A: Decision Making is an important function for every organization as it includes choosing the best…
Q: Write in normal form and solve by the simplex method, assuming x, to be nonnegative. 1. The owner of…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: a. What is the efficient outcome? b. If there are negotiation costs of $150, what activities will…
A: In this scenario, Kenya and Dionne have adjacent plots of land with different potential uses, and…
Q: A car company is planning the introduction of a new electric car. There are two options for…
A:
Q: Indicate which of the following is an all-integer linear program and which is a mixed-integer linear…
A: Objective Functions: Max 70x1 + 65 x2 Constraints: Subject to 9x1 + 4.5 x2 ≤ 400 5…
Q: A company makes three types of candy and packages them in three assortments Assortment I contains 4…
A: Linear programming is a mathematical optimization technique used to find the best possible solution…
Q: revenue. Derek also wants to minimize the risk. Determine the number of shares of each stock that…
A: For determine the number of shares of each stock, Derek should buy to meet his investment goals…
Q: Which of the following linear programming model has an unbounded feasible region?
A: The collection of all potentially feasible solutions makes up the feasible zone of a linear program.…
Q: The sketch of a feasible region is given below, which point is not a point consistent with a…
A: The sketch of a feasible region is shown in the graph, A coordinate point coming from that sketch,…
Q: Determine the various criterion from which the final decision has to be made. If the farmer wishes…
A: Since you have asked multiple subparts, we will solve the first three parts for you. If you want any…
Q: A farm consists of 600 acres of land, of which 500 acres will be planted with corn, soybeans, and…
A: Linear programming involves determining the maximum or minimum value of the objective function, in a…
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- In this version of dice blackjack, you toss a single die repeatedly and add up the sum of your dice tosses. Your goal is to come as close as possible to a total of 7 without going over. You may stop at any time. If your total is 8 or more, you lose. If your total is 7 or less, the house then tosses the die repeatedly. The house stops as soon as its total is 4 or more. If the house totals 8 or more, you win. Otherwise, the higher total wins. If there is a tie, the house wins. Consider the following strategies: Keep tossing until your total is 3 or more. Keep tossing until your total is 4 or more. Keep tossing until your total is 5 or more. Keep tossing until your total is 6 or more. Keep tossing until your total is 7 or more. For example, suppose you keep tossing until your total is 4 or more. Here are some examples of how the game might go: You toss a 2 and then a 3 and stop for total of 5. The house tosses a 3 and then a 2. You lose because a tie goes to the house. You toss a 3 and then a 6. You lose. You toss a 6 and stop. The house tosses a 3 and then a 2. You win. You toss a 3 and then a 4 for total of 7. The house tosses a 3 and then a 5. You win. Note that only 4 tosses need to be generated for the house, but more tosses might need to be generated for you, depending on your strategy. Develop a simulation and run it for at least 1000 iterations for each of the strategies listed previously. For each strategy, what are the two values so that you are 95% sure that your probability of winning is between these two values? Which of the five strategies appears to be best?In Example 11.1, the possible profits vary from negative to positive for each of the 10 possible bids examined. a. For each of these, use @RISKs RISKTARGET function to find the probability that Millers profit is positive. Do you believe these results should have any bearing on Millers choice of bid? b. Use @RISKs RISKPERCENTILE function to find the 10th percentile for each of these bids. Can you explain why the percentiles have the values you obtain?You now have 10,000, all of which is invested in a sports team. Each year there is a 60% chance that the value of the team will increase by 60% and a 40% chance that the value of the team will decrease by 60%. Estimate the mean and median value of your investment after 50 years. Explain the large difference between the estimated mean and median.
- A common decision is whether a company should buy equipment and produce a product in house or outsource production to another company. If sales volume is high enough, then by producing in house, the savings on unit costs will cover the fixed cost of the equipment. Suppose a company must make such a decision for a four-year time horizon, given the following data. Use simulation to estimate the probability that producing in house is better than outsourcing. If the company outsources production, it will have to purchase the product from the manufacturer for 25 per unit. This unit cost will remain constant for the next four years. The company will sell the product for 42 per unit. This price will remain constant for the next four years. If the company produces the product in house, it must buy a 500,000 machine that is depreciated on a straight-line basis over four years, and its cost of production will be 9 per unit. This unit cost will remain constant for the next four years. The demand in year 1 has a worst case of 10,000 units, a most likely case of 14,000 units, and a best case of 16,000 units. The average annual growth in demand for years 2-4 has a worst case of 7%, a most likely case of 15%, and a best case of 20%. Whatever this annual growth is, it will be the same in each of the years. The tax rate is 35%. Cash flows are discounted at 8% per year.Which of the following is true? a)The maximin criterion is an approach in Optimization under uncertainty which finds a solution that has the best possible payoff. b)The maximin criterion is an approach in Optimization under uncertainty which finds a solution with the best worst possible payoff. c)A risk profile represents the probability distribution of uncertain inputs. d)Decision tree is a method to solve any optimization problem when the outcomes are subject to uncertainty.Pls help ASAP for both
- Problem 16-15 (Algorithmic) Strassel Investors buys real estate, develops it, and resells it for a profit. A new property is available, and Bud Strassel, the president and owner of Strassel Investors, believes if he purchases and develops this property it can then be sold for $160,000. The current property owner has asked for bids and stated that the property will be sold for the highest bid in excess of $100,000. Two competitors will be submitting bids for the property. Strassel does not know what the competitors will bid, but he assumes for planning purposes that the amount bid by each competitor will be uniformly distributed between $100,000 and $150,000. Develop a worksheet that can be used to simulate the bids made by the two competitors. Strassel is considering a bid of $130,000 for the property. Using a simulation of 1000 trials, what is the estimate of the probability Strassel will be able to obtain the property using a bid of $130,000? Round your answer to 1 decimal place.…Fopic 4- Linear Programming: Appli eBook Problem 9-05 (Algorithmic) Kilgore's Deli is a small delicatessen located near a major university. Kilgore's does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.46, on one serving of Dial 911, $0.59. Each serving of Wimpy requires 0.26 pound of beef, 0.26 cup of onions, and 6 ounces of Kilgore's special sauce. Each serving of Dial 911 requires 0.26 pound of beef, 0.41 cup of onions, 3 ounces of Kilgore's special sauce, and 6 ounces of hot sauce. Today, Kilgore has 21 pounds of beef, 16 cups of onions, 89 ounces of Kilgore's special sauce, and 61 ounces of hot sauce on hand. a. Develop a linear programming model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today.…A desk contains three drawers. Drawer 1 contains twogold coins. Drawer 2 contains one gold coin and one silvercoin. Drawer 3 contains two silver coins. I randomly choosea drawer and then randomly choose a coin. If a silver coinis chosen, what is the probability that I chose drawer 3?
- 21. A retirement community restricts buyers to people 55 years and older. How will this restriction affect the value of the property? The value of the property will be higher due to the value characteristic of demand. The value of the property will be less due to the value characteristic of transferability. This restriction will not have any affect on the value of the property. The value of the property will be less due to the value characteristic of scarcity.Problem 3: Let L(x, y) be the statement “x loves y”, where the domain for both x and y consists of all people in the world. Use quantifiers to express each of the following statements.1. Everybody loves Jerry.2. Everybody loves somebody.3. There is somebody whom everybody loves.4. Nobody loves everybody.5. There is somebody whom Lydia does not love.6. There is somebody whom no one loves.7. There is exactly one person whom everybody loves.8. There are exactly two people whom Lynn loves.9. Everybody loves himself or herself.10. There is someone who loves no one besides himself or herself.Apply Linear Programming to the Folling Question: Dan Reid, chief engineer at New Hampshire Chemical, Inc., has to decide whether to build a new state-of-art processing facility. If the new facility works, the company could realize a profit of $200,000. If it fails, New Hampshire Chemical could lose $150,000. At this time, Reid estimates a 60% chance that the new process will fail. The other option is to build a pilot plant and then decide whether to build a complete facility. The pilot plant would cost $10,000 to build. Reid estimates a fifty-fifty chance that the pilot plant will work. If the pilot plant works, there is a 90% probability that the complete plant, if it is built, will also work. If the pilot plant does not work, there is only a 20% chance that the complete project (if it is constructed) will work. Reid faces a dilemma. Should he build the plant? Should he build the pilot project and then make a decision? Help Reid by analyzing this problem