Consider a farmer owning 45 acres of land. The farmer is going to plant his/her land with wheat or corn. Each acre planted with wheat yields $200 profit; each with corn yields $300 profit. Resource usage for each acre planted with wheat/corn are given in the table below. Wheat Corn Available Resource Labor 3 Workers 2 Workers 100 Workers Fertilizer 2 tons 4 tons 120 tons The model for the problem is given below. Max z = 200x1 + 300x2 s.t.
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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.Please answer all parts A Rhino cement company owns two production plants. Plant 1 costs 20977 per day to operate, and it can produce 330 bags of high-grade cement, 475 bags of medium-grade cement , and 508 bags of low-grade cement each day. Plant 2 is newer and more modern. It costs 22570 per day to operate, and it can produce 435 bags of high-grade cement,271 bags of medium-grade cement, and 274 bags of low-grade cement each day. The company has orders totaling 24539 bags of high-grade cement, 25248 bags of medium-grade cement, and 33749 bags of low-grade cement. How many days should it run each plant to minimize its costs and still produce enough cement to meet its orders? What is the value of the first dual variable? What is the value of the second dual variable? What is the value of the third dual variable? What is the value of dual optimal solution z?Suppose years of schooling, s, is the only variable that affects earnings. The equations for the weekly salaries of male and female workers are given bywm = 500 + 100sandwf = 300 + 75sOn average, men have 14 years of schooling and women have 12 years of schooling.a. What is the male-female wage differential in the labor market?b. Using the Oaxaca decomposition, calculate how much of this wage differential is due to discrimination?c. Can you think of an alternative Oaxaca decomposition that would lead to a different measure of discrimination? Which measure is better?
- Company X manufactures four different types of toys for kids including cars, bikes, plane and ship. The gross margin, production, and profit are listed below for each items are shown below: Product Gross margin/unit Minutes/unit Gross margin/minute Maximum production 280000 112000 Profit Car Bike Plane Ship 0.3 1.3 0.75 1.2 1 2.5 1.5 2 0.30 0.52 0.50 0.60 18667 140000 84000 145600 14000 168000 Let the production capacity of the machine used for production is 4500 hours per year. Which of the following would be the minimum value of gross margin per minute of ship that would make it economical for production? (A)0.65 (B) 0.70 (C) 0.87 (D) Can't be determinedUnder Fundamental analysis the intrinsic value of the stock is meassured by analysing economic and financial factors. This method analysis the stock's real and fair market value. According to this analysis if the market price of the stock is lower than its fair market value then the stock is deemed to be underpriced, which means the stock price is going to rise in future. On the other hand if the fair market value of the stock is lower than its market price then it is assumed that the future prices of stock are going to decline. BASED ON THE STATEMENT ABOVE PLEASE DRAW THE GRAPH AND EXPLAIN IT ON U.S. SITUATIONThe cost data for Evencoat Paint for the year 2019 is as follows: Month Gallons ofPaintProduced EquipmentMaintenanceExpenses January 110,000 $70,700 February 68,000 66,800 March 71,000 67,000 April 77,000 68,100 May 95,000 69,200 June 101,000 70,300 July 125,000 70,400 August 95,000 68,900 September 95,000 69,500 October 89,000 68,600 November 128,000 72,800 December 122,000 71,450 A. Using the high-low method, express the company’s maintenance costs as an equation where x represents the gallons of paint produced. Then estimate the fixed and variable costs. Fixed cost $ Variable cost $
- The Market for Home Security Cameras Example 2 update: In the last few years, major technology companies have Matte Black Rectengle Eynglasses Onine $9.00 Zenni Square Prescription Gilasses Back Rx Glasses Ottoto Waterloo Aralablie wh Blue Light. $35.20 GlaesestSA.com Meris Metal Eyeglass Frames Rimiess Cuting $29.68 VS S6.95 EyeBuyDirect.com Zanni Optical Wish ring The Market for Glasses Example 1 update: Recently there have been several companies bought up small home "smart" device selling glasses online direct to consumers companies. for as little as $7. Some even offer a subscription plan where you get a new pair Google bought up Nest and Amazon bought of glasses every month. Zenni Optical recently started advertising online and using use than other home security products since celebrity spokespeople to enhance their brand. Ring. Now Nest and Ring are much easier to they can use Alexa and "Hey Google." in a much easier way than producers not owned Zenni optical has sold over 20…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?Assuming your company is producing Apple and Samsung phone cases. It is required to process in the assembly and paint shops to make either phone case. It takes 1/60 of a day and 1/40 of a day to paint an Apple case and a Samsung case in the paint shop, respectively. It takes 1/50 of a day to assemble either type of case in the assembly shop. An Apple phone case and a Samsung phone case yield profits of $300 and $220, respectively, per case sold. What is a maximum-profit daily production plan for your company?
- The world's oceans contain on average of 0.9 oz of Au /ton of ocean water. There were 2 proposed novel process in mineral extraction to recover the Au and they were compared using Engineering Economic Analysis. Process X costs $600/ton of ocean water processed and a recovery of 90%, while Process Z costs $450/ton and a recovery of 60%. Both processes will need the same amount of capital investment and equal ounces of Au extracted daily. If the Au today is $2,200/oz, which process is more feasible considering the fact that the world's ocean can be inexhaustible? This problem requires the analysis to be on the basis of profit per ounce of Au extracted.25. Consider the following list of retail items sold in a small neighborhood gift shop.Average ProfitItem Annual Volume per ItemGreeting cards 3,870 $ 0.40T-shirts 1,550 1.25Men’s jewelry 875 4.50Novelty gifts 2,050 12.25Children’s clothes 575 6.85Chocolate cookies 7,000 0.10Earrings 1,285 3.50Other costume jewelry 1,900 15.00a. Rank the item categories in decreasing order of the annual profit. Classify eachin one of the categories as A, B, or C.b. For what reason might the store proprietor choose to sell the chocolate cookieseven though they might be her least profitable item?You are the Economic Consultant for Zuku Farms Ghana Limited. Zuku produces cowpea in a community where producers are able to switch back and forth between cowpea and groundnut depending on market conditions. Consequently, you were tasked by the management of Zuku and you estimated the demand function for cowpea as follows: where is the quantity of cowpea demanded in bags per month, is the average price of cowpea in Ghana Cedis, is the average price of groundnut in Ghana Cedis, and Y is the income of consumers. Assuming is initially GH¢31.00 per bag, Y is GH¢1001.50 Required: Find the resulting demand function for cowpea and determine the number of bags Zuku can sell at GH¢ 45.00 per bag. Management is considering increasing price of cowpea by GH¢10.00 per bag. Advise management on this price change using the concept of price elasticity of demand. Explain why management should be worried about a reduction in the price of groundnut