ntering variable Leaving variable
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OPEC
Explain the significance of the following variables with reference to linear programming problem:
- Entering variable
- Leaving variable
The substituted variable is termed the outgoing variable and the substitute variable is referred to as the input variable. The simplex technique is designed to enable two things to happen by selecting those two variables.
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- Pete Morton is planning to go to graduate school in a program of study that will take three years. Pete wants to have $13,000 available each year for various school and living expenses. If he earns 8 percent on his money, how much must be deposited at the start of his studies to be able to withdraw $13,000 a year for three years? (Exhibit 1-A, Exhibit 1-B, Exhibit 1-C, Exhibit 1-D)The Pizza Man is a local shop that plans to make all of its sales this Saturday from its sidewalk tables during the town’s holiday parade. On this occasion, the shop’s owners know that customers will buy by the slice and any kind of pizza offered will sell. The Pizza Man offers plain, meat, vegetable, and supreme pizzas. Each variety has its own requirement for sauce, cheese, dough, and toppings (in ounces, as shown in the table), and each has its own selling price. The Pizza Man expects to use its entire stock of ingredients and wishes to maximize revenue from its sales. What mix of pizzas should be made? Formulate and solve the problem (assume that fractions (1.2 Supreme Pizza, etc.) can be sold). Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.“Good Intentions” (GI) company produces two products, which it sells on both a cash and credit basis. Revenues from credit sales will not have been received but are included in determining profit earned during the current six-month period. Sales during the next six months can be made either from units produced during the next six months or from the beginning inventory. Relevant information about products one and two is as follows. During the next six months, at most 150 units of product type 1 can be sold on a cash basis, and at most 100 units of product 1 can be sold on a credit basis. It costs £35 to produce each unit of product type 1, and each sells for £40. A credit sale of a unit of product 1 yields £0.50 less profit than a cash sale (because of delays in receiving payment). Two hours of production time are needed to produce each unit of product 1. At the beginning of the six-month period, 60 units of product 1 are in the inventory. During the next six months, at most 175 units…
- In problems involving maximization and minimization, what is the objective function? States intended outcome in equation form Incorporates constraint of maximum budget Lists set of potential restrictions on the solution Cites constraints to ensure objectivityFind the general solution to the differential equation X² + 2xy + x(dy/dx) = 0 Find the integrating factor, u(x) =_____ Find y(x) =____ Use C as the unknown constant.Irwin’s sells a particular model of fan, with most of the sales being made in thesummer months. Irwin’s makes a one-time purchase of the fans prior to eachsummer season at a cost of $40 each and sells each fan for $60. Any fans unsoldat the end of the summer season are marked down to $29 and sold in a special fallsale. Virtually all marked-down fans are sold. The following is the number of salesof fans during the past 10 summers: 30, 50, 30, 60, 10, 40, 30, 30, 20, 40.a. Estimate the mean and the variance of the demand for fans each summer.b. Assume that the demand for fans each summer follows a normal distribution,with mean and variance given by what you obtained in part (a). Determine theoptimal number of fans for Irwin’s to buy prior to each summer season.c. Based on the observed 10 values of the prior demand, construct an empiricalprobability distribution of summer demand and determine the optimal numberof fans for Irwin’s to buy based on the empirical distribution.d. Based on your…
- John Hospital contains 450 beds. The average occupancy rate is 80% per month. In other words, on average, 80% of the hospital’s beds are occupied by patients. At this level of occupancy, the hospital’s operating costs are P56 per occupied bed per day, assuming a 30-day month. This P56 figures contains both variable and fixed cost components. During the month of June, the hospital’s occupancy rate was only 60%. A total of P571,725 in operating costs was incurred during that month. Using the high low method, the amount of variable cost per occupied bed per day is?Rajan wanted a radio from Jacky's. It appears that Rajan is particularly interested in purchasing a Radio from the inexpensive retailer's sales manager for consumer electronics. He tells Jacky, the salesperson at the inexpensive store where he thinks he'll get the best deal, that his old radio died and he wants to listen to his favourite tunes. He wants a replacement radio as quickly as possible. In three and a half weeks, Rajan's favourite model will be 10% off.He suspects Rajan won't wait and will find another job. Jacky will earn less on the lowered price. He thinks that telling Rajan of the sale makes little sense.When Jacky tells Rajan that the radio set he wants is no longer available and won't be for another week, Rajan is enraged. Fearing losing the business, Jacky begs his sales manager, Michelle, to speed up delivery. Michelle says it's impossible and suggests Jacky tell Rajan the store can get the set in 24 hours and sell him the demo model. Michelle says the sample is new…Functions are used to map elements from one set to another. For example, barcode and QR scanner systems are developed by programmers to use specific symbologies to map the pattern in the barcode to actual digits. The check digit or the final digit is used to determine whether the function is true (known good) or false (errors in the mapping occurred). RFID system developers also use functions to develop a pairing protocol that securely connects legitimate devices within a specific proximity. RFIDs are using in logistics, retail, warehousing, and more.
