How many transitive relationships does the graph below have?
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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.write a linear program that will maximize profits. You don’t need to solve it. Hint: Define your variables as: Xij = tons of commodity i loaded into cargo hold jWhat inverse operations is used to solve equations 2x=10
- Solve the given standard minimization problem using duality. (You may already have seen some of these in earlier sections, but now you will be solving them using a different method.) HINT [See Example 1.] Minimize c = s + 2t subject to 4s + t ≥ 210 2s + t ≥ 160 s + 3t ≥ 315 s ≥ 0, t ≥ 0. c= (s, t) =Solve in a normal method (no excel please ). (8)TRUE OR FALSE In Simplex Method, the pivot element should be changed to 1 in the formulation of the next table.
- Refer to the Factory-to-Six-Customers problem and start with the original information. Each customer increases demand by 1000 units. This increased demand has to be met. Re-calculate the optimal solution. At the new solution, which of the following statements is true? A. The total shipping costs are $252,900 B. Quantity shipped from Factory 1 to Customer 1 declines by 6000 units C. Both A and B D. Neither A norA bank is trying to determine which of two machinesshould be rented to process checks. Machine 1 rents for$10,000 per year and processes 1,000 checks per hour.Machine 2 rents for $15,000 per year and processes 1,600checks per hour. Assume that the machines work 8 hours aday, 5 days a week, 50 weeks a year. The bank must processan average of 800 checks per hour, and the average checkprocessed is for $100. Assume an annual interest rate of20%. Then determine the cost to the bank (in lost interest)for each hour that a check spends waiting for and undergoingprocessing. Assuming that interarrival times and servicetimes are exponential, which machine should the bank rent?I need help with the constraint and how to solve the probelm on excel
- (b) A company produces 3 products A, B and C processed on 3 machines P, Q, R before completion. Machine P can process 25 units of A or 50 unit of B or 75 units of C per hour. Machine Q can process 50 units of any of the products per hour. Machine R can process 50 units of A or 25 unit of B or 100 units of C per hour. The processing hours available on machines P, Q and R are 12, 12 and 13 respectively. Use matrix method, find (i) How many units of each of the three products can be produced per day (ii) The production cost per unit, if cost per hour of operating machines A,B and C are N$500, N$1,000 and N$1,500 respectively. (iii) The total cost of production.Mr. Together came up with an idea to open a hardware in Talamban, Cebu City in his family-owned 10-hectare lot. Mr. Together does not have any background in running a business, in managing people, and in building constructions. The only factor why he wanted to open a hardware business is he has 5B pesos won from a lottery. He wanted to have the money invested in their 10-hectare lot inherited from his parents. Mr. Together needs your help in this business by having you present a proposal. He wants you part of the company. TASK: Come up with A Proposal to be a Distributor of Paint Products to be presented to Mr. Together so he can gradually build his business. He needs people to construct the hardware, people to run the business, people to manage people, and all others to make this project a reality. Make your proposal simple.A department works one 8-hour shift, 250 days a year, and has these figures for usage of amachine that is currently being considered:ProductAnnualDemandStandard ProcessingTime per Unit (hr)Processing TimeNeeded (hr)1 400 5.0 2,0002 300 8.0 2,4003 700 2.0 1,4005,800Units of capacity needed = Processing time needed ___________________________ Processing time capacity per unit (5–3)Working one 8-hour shift 250 days a year provides an annual capacity of 8 × 250 =2,000 hours per year. Consequently, three of these machines would be needed to handle therequired volume:5,800 hours __________________ 2,000