Suppose x represents the number of tons produced daily of interior paints and y represents the number of tons produced daily of exterior paints. Which of the following describes the constraint pertaining to the market limit of these products? Oy-x ≤ 1 Ox-y≤1 Oy ≤ 2 0 x ≤ 2
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- 1. A cement grinding mill “A” with a capacity of 50 tons/hr utilizes forged steel grinding balls costing P12,000/ton, which have a wear rate of 100 grams/ton cement milled. Another cement mill “B” of the same capacity uses high chrome steel grinding balls costing P50,000/ton with wear rate of 20 grams/ton cement milled. Determine the more economical grinding mill, considering other factors to be the same.In terms of the model parameters, state the null hypothesis that, after controlling for sales and roe, ros has no effect on CEO salary. State the alternative that better stock market performance increases a CEO’s salary.THE PINEAPPLE HARVESTING SEASON IN BACOLOD IS SHORT , AND MOST FARMERS DELIVER THEIR TRUCKLOADS OF PINEAPPLE TO A GIANT CENTRAL STORAGE BIN WITHIN A TWO - WEEK SPAN . BECAUSE OF THIS , PINEAPPLE - FILLED TRUCKS WAITING TO UNLOAD AND RETURN TO THE FIELDS HAVE BEEN KNOWN TO BACK UP FOR A BLOCK AT THE RECEIVING BIN . THE CENTRAL BINJ IS OWNED COOPERATIVELY, AND IT IS TO EVERY FARMER'S BENEFIT TO MAKE THE UNLOADING/STORAGE PROCESS AS EFFICIENT AS POSSIBLE. THE COST OF PINEAPPLE DETERIORATION CAUSED BY UNLOADING DSELAYS AND THE COST OF TRUCK RENTAL AND IDLE DRIVER TIME ARE SIGNIFICANT CONCERNS TO THE COOPERATIVE MEMBERS . ALTHOUGH FARMERS HAVE DIFFICULTY QUANTIFYING CROP DAMAGE, IT IS EASY TO ASSIGN A WAITING AND UNLOADING COST FOR TRUCK AND DRIVER OF P 18 PER HOUR . THE STORAGE BIN IS OPEN AND OPERATED 16 HOURS PER DAY AND 7 DAYS PER WEEK DURING THE HARVEST SEASON AND IS CAPABLE OF UNLOADING , 35 TRUCKS PER HOUR ACCORDING TO AN EXPONENTIAL DISTRIBUTION . FULL TRUCKS ARRIVE ALL…
- To minimize costs on the production line, an industrial engineer at a fiber-optic manufacturing firm is considering two robots. Robot X would have a $82,000 first cost, a $30,000 annual maintenance and operation (M&O) cost, and $50,000, $42,000, and $35,000 salvage prices after 1, 2, and 3 years, respectively. Robot Y will have a first cost of $97,000, a yearly M&O cost of $27,000, and after 1, 2, and 3 years, respectively, salvage prices of $60,000, $51,000, and $42,000. If a 2-year study period is specified at an interest rate of 15 percent per year and replacement after 1 year is not an option, what robot should be selected?A manufacturer of wind turbines produces a large number of only two types of turbines, C and M, designed to operate in the states of California, C, and the state of Massachusetts, M, respectively. The five-year failure rate of the M turbines p = .12, and the five-year failure rate for C turbines is p = .09, and the failure rates are independent of each other. Three times as many C turbines have been sold (and put into operation) than M turbines. Given that one of this manufacturer's turbines fails within five-years, what is the probability that it was an M turbine?California Wine producer Chill Wines has in their line a mid-market chardonnay, of whichthey produce 200,000 bottles a year. They have been bottling their wines with natural corkclosures, which are known to have sealing issues resulting in the spoilage of wine, aproblem that is worse in their chardonnay than in the other wines they sell. This problem,which results in a 15% spoilage rate for their chardonnay, is both expensive and impactsthe company’s reputation. They have researched several other closure products on themarket and have decided to try using a new closure in a test run of 91 bottles theirchardonnay. After allowing the wine to stay in the bottles for the time it generally takes toget it from the winery to customers, they tested the run and found 16 spoiled bottles. As thecompany has a both an immediate financial and reputation risk, they want to be 90% surethat changing the closures will help limit wine spoilage. What do their results suggest? a)What is known? What…
- Cecille Paper Company uses softwood and hardwood pulp as basic materials for producing converter-grade paper. Hardwood is 80% pulp fiber and 20% pulp binder, while softwood is 50% pulp fiber and 50% pulp binder. The cost per pound for hardwood and softwood is $.50 and $.40, respectively. The company s quality control expert specifies that in order for the product to meet quality standards, each batch must contain at least 12,000 pounds of pulp fiber and at least 6,000 pounds of pulp binder. Because of equipment limitations, the size of a batch cannot exceed 24,000 pounds. The Production Department recently received a new standard from the Cost Department, allowing $8,200 per batch. The production manager feels that this amount is too low, because such costs have never been less than $8,400. Required: Using the graphic method, determine the hardwood and softwood mix necessary to minimize the cost per batch.Use complementary slackness to find solution(s) to the dual LPP.The Lechería La Vaquita company currently has three-star products, but it faces a problem of capacity to satisfy the demand for these products. In total, it has 65,000 machine hours per month for the production of these three products. The production time to produce a batch of 1000 liters each product, as well as its monthly demands are shown in the following table: * TABLE * Because in recent months there have been advertising campaigns for Leche Choco-Chavo and Leche Chavo Light, the company wants the demands for these products to be the first to be satisfied with the same level of importance, while Leche Chavo as it is a product already well positioned, it is the third priority of these products. Formulate the goal programming mathematical model for this problem by clearly defining the sets, constraint variables, parameters, objective function (s), and constraints.
- Can u proof the Newton's method would converge in this nonlinear system??Approaching the month of Ramadan, PT Prima Sehat predicts that there will be an increase in demand for electronic goods, both TVs and microwaves. All of these electronic products have the same processing process, but have different processing times. For TV requires 4 hours of electronic processing and 2 hours of assembly. While the microwave requires 3 hours of electronic processing time and 1 hour of assembly. Of the current capacity, there is a working time for electronics as much as 240 hours, and per work time as much as 100 hours. The profit for each product is 7 (in tens of thousands) and 5 (in tens of thousands). Please use the simplex method linear programming method to solve the above caseA manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x<200: fixed costs, $245; unit production cost, $15 per vest; equipment maintenance and repairs, 0.05x2 dollars. So, the cost of manufacturing x vests in one given day is given by C(x)=0.05x2+15x+245, where 0<x<200. (A) What is the average cost C(x) per vest if x vests are produced in one day? (B) Find the critical numbers of C(x), the intervals on which the average cost per vest is decreasing, the intervals on which the average cost per vest is increasing, and the local extrema. Do not graph