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- A steel company produced two types of machine dies, part A and part B. The company makes a $2.00 profit on each part A that it produces and a $5.00 profit on each part B that it produces. Let x= the number of part A produced in a week and y= the number of part B produced in a week. Write the objective function that describes the total weekly profit.Suppose that a company produces 40,000 parts over the course of the year. Each production run costs the company $125. In addition, it costs $12 to store one of these items for one year. In the following problems, let x represent the number of production runs, and assume that we are using the maximum inventory model when it comes to storage.a. Write an expression for the total setup costs for one year. Total Setup Costs = b. Write an expression for the number of items per production run.# of items per production run = c. Write an expression for the total storage costs for one year.Total Storage Costs =3. The chief economist for Argus Corporation, a large appliance manufacturer, estimated the firm's short-run cost function for vacuum cleaners using an average variable cost function of the form AVC = a + bQ + cQ² where AVC = dollars per vacuum cleaner and Q = number of vacuum cleaners pro- duced each month. Total fixed cost each month is $180,000. The following results were obtained: DEPENDENT VARIABLE: AVC R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 19 VARIABLE INTERCEPT Q Q2 Show Transcribed Text PARAMETER ESTIMATE 191.93 -0.0305 0.0000024 Ĵ 0.7360 STANDARD ERROR 54.65 39.428 T-RATIO 3.512 0.00789 23.866 0.00000098 2.449 0.0001 P-VALUE 0.0029 0.0014 0.0262 a. Are the estimates â, b, and ĉ statistically significant at the 2 percent level of significance? b. Do the results indicate that the average variable cost curve is U-shaped? How do you know? c. If Argus Corporation produces 8,000 vacuum cleaners per month, what is the estimated average variable cost? Marginal cost? Total…
- Purchasing and installation costs of some equipment are given as a function of weight rather than capacity. An example of this is the costs of purchasing and setting up large tanks. The 1980 purchase and installation cost for a 100,000 lb aluminum tank was $ 390,000. For a size between 200,000 and 1,000,000 lb, the installed cost-weight base for aluminum tanks is 0.93. If an aluminum tank weighing 700,000 lbs is required, how much will it cost in 2002?A supermarket expects to sell 4000 boxes of sugar in a year. Each box costs $2, and there is a fixed delivery charge of $20 per order. If it costs $1 to store a box for a year, what is the order size and how many times a year should the orders be placed to minimize inventory costs? boxes per order= orders per boxes=You are part of a government task force evaluating whether new models of cars will meet fuel efficiency standards set out by the newly signed climate bill. You have run an ANCOVA model that predicts fuel efficiency (in miles per gallon) as a function of vehicle weight (measured in thousands of lbs, where a value of 2.5 would correspond to 2,500 lbs), horsepower, and number of cylinders in the car (cylinders is a factor in this model with 3 levels: 4 cylinders, 6 cylinders, and 8 cylinders). Your analysis tells you the following; The mean miles per gallon of all cars analyzed is 20.09 The mean weight of all cars analyzed is 3.217 thousand lbs The mean horsepower of all cars analyzed is 146.7 The regression coefficient for weight is -3.18 miles per gallon per additional thousand lbs The regression coefficient for horsepower is -0.023 miles per gallon per additional unit of horsepower Cars with 4 cylinders get 2.13 more miles per gallon, on average, than the average car Toyota is…
- Your college newspaper, The Collegiate Times, has fixed production costs of $7000 per edition, and variable printing and distribution costs of $40 per copy. The Collegiate Times sells for $50 per copy. Write down the associated cost, revenue, and profit functions. What profit (or loss) results from the sale of 500 copies of The Collegiate Times? How many copies should be sold to break even?Suppose that a company needs 1,500,000 items during a year and that preparation for each production run costs $600. Suppose also that it costs $11 to produce each item and $2 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized. items/run Submit Answer 1Suppose that a company needs 1,500,000 items during a year and that preparation for each production run costs $900. Suppose also that it costs $14 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized.
- A retail store in Makkah, receives shipments of a particular product from Jeddah and Taif. Let X be units of product received from Jeddah and Y be units of product received from Taif.a. Write an expression for the total units of product received by the retail store in Makkah. b. Shipments from Jeddah cost $0.20 per unit, and shipments from Taif cost $0.25 per unit. Develop an objective function representing the total cost of shipments to Makkah.c. Assuming the monthly demand at the retail store is 5000 units, develop a constraint that requires 5000 units to be shipped to Makkah. d. No more than 4000 units can be shipped from Jeddah and no more than 3000 units can be shipped from Taif in a month. Develop constraints to model this situation.e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model for satisfying the demand at the Makkah retail store at minimum cost. i need full answer for liner programing…Suppose that a company needs 1,800,000 items during a year and that preparation for each production run costs $500. Suppose also that it costs $14 to produce each item and $2 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized. items/run