Question No. 1: Part - A: Marks 13) A Leading mobile phone manufacturer is about to introduce a new series, initially they are launching 4 models of the same series. The accompanying table summarizes price and variable costs data, combined fixed costs equal $540,000. Models Infinity A Infinity A Infinity A Pro Infinity A Pro Max Lite Selling Price in dollars) 500 400 340 220 Material Cost / unit (in ZZO 150 90 dollars) Labor Cost/unit (in dollars) 90 65 65 50 Table 1 a) Develop a joint tot al revenue function for sales of the four different models. 190 b) Develop an annual total cost function for manufacturing the four models. c) Develop the profit function for sales of the four models. d) Calculate the annual profit if the firm sells 9000, 12000, 45000 and 22000 units, respectively, of the four models? Part - B: Marks (2) in manufacturing a medical equipment, a firm incurs costs of two types. Fixed annual costs of $ 155,000 are incurred regardless of the number of units produced. In addition, each unit produced costs the firm $5. If c equals total annual cost in dollars and x equals the number of units produced during a year a) Develop the function C = f(x) which expresses annual cost. b) Calculate f(280.000)? What does f(280.000) represent? c) State the restricted domain and restricted range of the function if maximum production capacity is 850,000 units per year Question No. 2: Part - A: Marks (1) A car that gets 10 miles per gallons of gasoline can travel 200 miles on a full tank. If the same car got 13 miles per gallon, how many miles could it travel on a full tank? Part - B: Marks 10) A candy recipe calls for 4 parts milk, 5 parts cocoa, 3 parts syrup, I parts sugar and I part butter. If you use 6 ounce of milk, how many ounces of candy mixture can you make? Part - C: Marks (0) If the cost for 3 apples is 54 cents, what will be the cost of 2 374 dozen apples? Part-D: Marks [1] How many miles are there between two cities, if the distance is represented by a 3.6 inch line on a map having a scale of 1 inch to 24 miles? Part - E: Marks 10 In a textile company, 30 men require 4 hours to prepare 1800 meters of cloth. The company received an order of 5400 meters of cloth to process. The company assigned 60 men team to process the order. How many hours the team will need to complete the task? Question No. 2: Part - A: Marks (1) A car that gets 10 miles per gallons of gasoline can travel 200 miles on a full tank. If the same car got 13 miles per gallon, how many miles could it travel on a full tank? Part - B: Marks 10) A candy recipe calls for 4 parts milk, 5 parts cocoa, 3 parts syrup, I parts sugar and I part butter. If you use 6 ounce of milk, how many ounces of candy mixture can you make? Part - C: Marks (0) If the cost for 3 apples is 54 cents, what will be the cost of 2 374 dozen apples? Part-D: Marks [1] How many miles are there between two cities, if the distance is represented by a 3.6 inch line on a map having a scale of 1 inch to 24 miles? Part - E: Marks 10 In a textile company, 30 men require 4 hours to prepare 1800 meters of cloth. The company received an order of 5400 meters of cloth to process. The company assigned 60 men team to process the order. How many hours the team will need to complete the task? Question No. 4: Parr - A: Marks Derermine the rinrercept and x-intercepts of the parabola represented by the following quadratic function Part-8 Marks 101 Determine the slope-intercept form of the linear equations, given the following attributes y recept by Slope - 4.14 -> lies online Parr-CI Marks 11) Considering the linear equation 4x 2y = -6 a) What is the scope of the line represented by rke given equation b) What is the slope of any line parallel to the given line Part-D Marts 12) Wational Testing Organization has observed a downward trend in the average Graduate Assessment Test score of applicants Analysis has resulred in the equation 9 * $80-41 Where gequals the average GAT score for a given year and equals the time measured in year since 1945 der=0 tor gear 1945) 2 Identityrke gand inrercep bilderrite the slope G Skerck re equation Question No 5 Part-A: Marks (3) A corporate agriculeural organization has three separate farms which are to be used during the coming year Each farm has unique characensties which make most swirable for raising one crop only Table below indicates the crop selected for each farm the annual cost of planring i acre of the crop the expected revenue to be derived from each tcre, and the fixed costs associated with operating escA farm. In addition to the fixed costs associated with operating each tarm, there are annual fixed costs of 975 000 for the corporation as a whole Farm Crop Soyabeans Corn Potaroes Cost/Acre (c) 3400 3/ 100 3750 Table 2 Revenue/Acre (Fixed Cost (F) 31.00 $150 000 31.450 3/75 000 3/ 200 3/25 DOO 2 3 al Derermine the profit function for the three-tarm operation bi What are the expected profits for tre program if the board of directors kas vored on the tolloving planning program for the coming year 1000 acres will be planted ar farm 1/600 ar fare 2 and 7.550 ar farm ?? CA Summer drought has resulred in the reverse yields per acre being reduced by 20 30 and 10 percent respectively, at the three tarms. What is the profir expected from the mentioned planting program? Part-8: Marks 10 Giventlab.cd) = 3ab-bc-2ad' Evaluare fi-2 2-4-4) and f(23,4,5) Parr - C: Marks The function 4 = 2:0 000-zep a demand function wlich expresses the quantity demanded of a product as a function of the price charged for the product p. stared in dollars. Determine the restricted Domain and range of the function Good Luck