-A Hot dog mixture in 1000-pound batches. Two ingredients is needed to create the mixture, chicken ($3/b) and beef ($5/1b), - Recipe requires at least 500 pounds of chicken and at least 200 pounds of beef is needed. Also, Ratio of chicken to beef must be at least 2 to 1. Determine optimal mixture of ingredients that will minimize costs. 1. Formulate an LP Model (show the complete model formulation) Get the: Decisions Variable Objective Function Constraints 2. Show the Graphical Solution
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- SIMPLEX METHOD: Min C = 3X1 + 7X2 + 5X3 Subject to: X1 + X2 + X3 > 50 2X1 + 3X2 + X3 > 100 Based on the initial tableau, answer questions no. 1-5 What is the value of X3 on the Cj row? What is the value of S2 on the right-hand side/quantity column? What is the value of Zj on the right-hand side/quantity column? What is the value of X3 on the Cj – Zj row? What is the entering variable?Your company makes hand sanitizer in two lines: Moisturizing+, and StandardSoap. On the market, Moisturizing+ retails for $175/L and StandardSoap retails for $95/L. You make the hand sanitizer by combining lotion, soap, and secret ingredient SpecialX. These ingredients are purchased from a mysterious supplier, and you can purchase at most 4000L of lotion, 5000L of soap, and 750L of SpecialX in a month. Lotion costs $25/L, soap costs $10/L, and SpecialX costs $35/L. To make 1L of Moisturizing+, you need to combine 0.5L of lotion, 0.3L of soap, and 0.2L of SpecialX. To make 1L of StandardSoap, you need to combine 0.4L of lotion, 0.55L of soap, and 0.05L of SpecialX. Your company has committed to donating 500L of StandardSoap to a local charity. Since this is a donation, you will not receive any revenue. However, the costs and purchasing limits apply to both the hand sanitizer that is sold on the market and donated to charity. You want to maximize your monthly profit. Assume that…A)What would the model be if the minimum calories were 450? B)What happens to the model if the total Liquid value is 3? C)What happens in the model if the coefficient of the objective function of peanut butter is 8? D)What should be the coefficient of the objective function for the cracker to be the basic variable? None of above less than 5.50 less than 1.43 less than 7.76 less than 6.56 E)What is the objective function value? Please donot provide solution in image format and it should be in step by step format and provide solution asap
- 4. A publisher prints copies of a popular weekly tabloid for distribution and sale. The fixed costs are $500 per print run, with each copy printed costing an additional $0.40. If C(q) is the cost function (in $) of the price of the print run as a function of copies printed, what is the formula for C(q)? Select one: a. C(q) = 500 + 0.4q b. C(q) = 500q + 0.4 c. C(q) = (500 + 0.4)q d. C(q) = 500 - 0.4q e. C(q) = 500q - 0.4 5. A hot dog vendor sells an average of 50 hot dogs during a Little League baseball game. If the sales are Normally distributed with a standard deviation of 7 hot dogs, what is the probability the vendor will sell between 45 and 65 hot dogs? Select one: a. 74.50% b. 92.36% c. 99.78% d. 174.50% e. 2.14 f. -0.71 g. 0.71Write “True” if the statement is true and write “False” if the statement is false.1. With the emergence of the information era, companies need to create value from theirintangible assets as well as their physical and financial assets.2. The primary purpose of balanced scorecard is to obtain increased operating profits for thecurrent year.3. To achieve success, it is important to set non-financial objectives as well as financial objectives.4. Different value propositions lead to different balanced scorecards.5. A properly constructed balanced scorecard tells the story of a business unit’s strategy.6. Strategy is about selecting the set of activities in which the organization will excel to create asustainable difference in the market.7. The vision and mission statement set the general direction for the organization.8. To create the balanced scorecard, first measures are identified and then translated intoobjectives.9. One valuable measure for the customer perspective of the balanced…Month Sales January 250 February 350 March 240 April 260 May 280 June 330 July 220 August 310 September 235 October 300 November 240 December 230 A.What is the value of MSE (mean squared error)? The answer is . (Make sure no decimal place and no comma. EX: 1234) B.What is the optimal alpha value to minimize inaccuracy? The answer is . (Make sure two decimal places.)
- XYZ Corporation manufactures two products, Simple and Complex. The following annual information was gathered: Simple Complex Selling price per unit P47.00 P26.00 Variable cost per unit 42.00 22.00 Total annual fixed costs are P18,000. Assume XYZ Corporation can produce and sell any mix of Simple or Complex at full capacity. It takes one hour to make one unit of Complex. However, Simple takes 50% longer to manufacture when compared to Complex. Only 120,000 hours of plant capacity are available. How many units of Simple and Complex should XYZ Corporation produce and sell in a year to maximize profits?Struggling with answering this question A manufacturer produces three types of humidifiers. The retail price of Humidifier Regular (HR) is $60 with variable costs of $20. Humidifier Advanced (HA) sells for $200 for its advanced features. This model’s variable costs are $80. Humidifier Simple (HS) is a simplified version and only sells for $25 with variable costs of $15. The manufacturer has machines and facilities worth $320,000 annually. The sales data show that 1000 units of HR, 2000 units of HA, and 10,000 units of HS was sold last year. Calculate the break-even point of the firm. The firm has some idle capacity at these volumes and chooses to cut the selling price of HR from $60 to $45, believing that its sales volume will rise from 1000 units to 2500 units. What is the revised break-even point?We all hate to bring small change to the store. Usingrandom numbers, we can eliminate the need for change andgive the store and the customer a fair shake.a Suppose you buy something that costs $.20. How could you use random numbers (built into the cash reg-ister system) to decide whether you should pay $1.00 or nothing? This eliminates the need for change!b If you bought something for $9.60, how would youuse random numbers to eliminate the need for change?c In the long run, why is this method fair to both thestore and the customer?
- XYZ Corporation manufactures two products, Simple and Complex. The following annual information was gathered: Simple Complex Selling price per unit P47.00 P26.00 Variable cost per unit 42.00 22.00 Total annual fixed costs are P18,000. Assume XYZ Corporation can produce and sell any mix of Simple or Complex at full capacity. It takes 1.5 hours to make one unit of Complex. However, Simple takes 50% longer to manufacture when compared to Complex. Only 120,000 hours of plant capacity are available. How many units of Simple and Complex should XYZ Corporation produce and sell in a year to maximize profits?1. An electronics firm is currently manufacturing an item that has a variable cost of 25Php/unit and aselling price of 50Php/unit. Fixed costs are 700,000Php. Current volume is 30, 000 units. The firmcan substantially improve the product quality by adding a new piece of equipment at an additionalfixed cost of 300,000Php. Variable cost would increase to 30Php/unit but volume should jump to50,000 units due to a higher-quality product. Should the company buy the new equipment?a. Yes, because it will gain a profit of 50,000Php.b. Yes, because it will gain a profit of 250,000Phpc. No, because it will gain a loss of 100,000Phpd. No, because it will not gain anything.e. None of the above3. As an owner of a restaurant known as Ryuichi House, you have decided to break down the salesof the club into four categories, the first category is beverages. Your estimate of beverages salesis that 30,000 drinks will be served. The selling price for each unit will average 60Php; cost is30Php. The second category is meals, which you expect to be 10,000 units with an average priceof 400Php and a cost of 200Php. The third category is desserts, of which you also expect to sell10,000 units but with an average price of 100Php per unit sold and cost of 40Php per unit. Thefinal category is snacks, which you expect to total 20,000 units at an average price of 250Php witha cost of 130Php. You will also expense 72,000Php for rent, 8,000Php for utilities, and 80,000Phpfor the entertainment.a. How much is the total sales?b. What is your break-even point in pesos per month?