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- b.A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer’s Rule, determine how many of each type of clothing should be made to use all available labor hours?Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)Profit Suppose that the total weekly cost for theproduction and sale of x bicycles is C(x) = 23x +3420 dollars and that the total revenue is givenby R(x) = 89x dollars, where x is the number ofbicycles.a. Write the equation of the function that models theweekly profit from the production and sale of xbicycles.b. What is the profit on the production and sale of150 bicycles?c. Write the function that gives the average profit perbicycle.d. What is the average profit per bicycle if 150 areproduced and sold?
- A factory manufactures both toy boats and toy trucks. It costs $125 to make a toy boat and $175 to make a toy truck. The factory only has $3,000 available to put into their production. If B is the number of boats made, and T is the number of trucks made, which of the following will be a Lagrangian equation if you are trying to maximise profits? a.120 + 5B + 7T = 0 b.120 - 5B - 7T = 0 c.0 = 120 - 5B + 7T d.0 = -120 - 5B - 7T e.120 + 5B - 7T = 010. A linear programming problem has two constraints 2X + 4Y ≥ 100 and 1X + 8Y ≤ 100, plus non-negativity constraints on X and Y. Which of the following statements about its feasible region is TRUE? Select one: a. The graphical origin (0, 0) is in the feasible region. b. The feasible region is triangular in shape, bounded by (50, 0), (33.3333, 8.3333), and (100, 0). c. There are four corner points including (50, 0) and (0, 12.5). here are four corner points including (50, 0) and (0, 12.5). d. The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized. e. The two corner points are (0, 0) and (50, 12.5).Suppose your worst enemy is standing over by the carnival games at (2,5) and wants to avoid you AT ALL COSTS. She takes a path that is parallel to yours and ends up at the roller coaster. What is an equation of the line representing your enemy's path?
- Write the following system of equations in the matrix form AX = B;where. Quesiton is in the imageWhich ONE of the following descriptions is CORRECT according to this Normal Form?I’m unsure what the formula in this example problem is asking for, in terms of how to answer a-c. Im also not positive I understand how to graph I-C and P-C curves is there a formula to follow?
- 5. An entrepreneur has costs for storing and shipping materials for his manufacturing process given by the function C (k) = 100 (100 + 9k + 144 / k) when 1 ≤ k ≤ 100, where C (k) is the cost total storage and transportation for 100 days of operation. If a load of k tons of material moves every k days, for what values of k does C (k) have a minimum value?A local entrepreneur has built a successful business which is still growing. He is aware that the increase scale operation has a number of cost advantages but it is finding the administration of organization increasing difficult. He asks you as a student of economics, with the help of diagram to explain the relative merits of expanding the size of businessWhat is the equation for this?