* A manufacturer of bicycles builds racing, touring, and mountain models. The bicycles are made of both steel and aluminum. The company has available 39,600 units of steel and 34,200 units of aluminum. The racing, touring, and mountain models need 11, 18, and 22 units of steel, and 15, 24, and 18 units of aluminum, respectively. Complete parts (a) through (d) below. (a) How many of each type of bicycle should be made in order to maximize profit if the company makes $8 per racing bike, $13 per touring bike, and $23 per mountain bike? Let x₁ be the number of racing bikes, let x2 be the number touring bikes, and let x3 be the number of mountain bikes. What is the objective function? z= (Do not include the $ symbol in your answers.) To maximize profit, the company should produce racing bike(s), touring bike(s), and mountain bike(s). (Simplify your answers.) (b) What is the maximum possible profit? The maximum profit is $☐ (Simplify your answer.) (c) Does it require all of the available units of steel and aluminum to build the bicycles that produce the maximum profit? If not, how much of each material is left over? Compare any leftover to the value of the relevant slack variable. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. Click to select your answer(s). RI d 32 ? Subm A manufacturer of bicycles builds racing, touring, and mountain models. The bicycles are made of both steel and aluminum. The company has available 39,600 units of steel and 34,200 units of aluminum. The racing, touring, and mountain models need 11, 18, and 22 units of steel, and 15, 24, and 18 units of aluminum, respectively. Complete parts (a) through (d) below. (c) Does it require all of the available units of steel and aluminum to build the bicycles that produce the maximum profit? If not, how much of each material is left over? Compare any leftover to the value of the relevant slack variable. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. No. Since s₁ = and s₂ = in the optimal solution, there is/are aluminum, respectively, left over. (Simplify your answers.) unit(s) of steel and unit(s) of C d col OB. Yes. All available units of steel and aluminum are required to build the optimal group of bicycles. (d) There are many unstated assumptions in the problem given above. Even if the mathematical solution is to make only one or two types of bicycles, there may be demand for the type(s) not being made, which would create problems for the company. Discuss this and other difficulties that would arise in a real situation. Choose the correct answer below. OA. The company might need to lower the price of one type of bicycle to sell the predicted number of them. This would reduce the profit generated. OB. Due to higher production of certain types of bicycles, the company may incur higher costs for bicycle repairs. This would reduce the profit generated for certain levels of production. OC. Producing more of one type of bicycle requires producing fewer of another type of bicycle. The linear programming model does not account for this. TL. et Click to select your answer(s). CC na Sub What t Oc 888 Next Due View Welco Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. No. Since s₁ = and s₂ = in the optimal solution, there is/are aluminum, respectively, left over. (Simplify your answers.) unit(s) of steel and unit(s) of OB. Yes. All available units of steel and aluminum are required to build the optimal group of bicycles. (d) There are many unstated assumptions in the problem given above. Even if the mathematical solution is to make only one or two types of bicycles, there may be demand for the type(s) not being made, which would create problems for the company. Discuss this and other difficulties that would arise in a real situation. Choose the correct answer below. OA. The company might need to lower the price of one type of bicycle to sell the predicted number of them. This would reduce the profit generated. OB. Due to higher production of certain types of bicycles, the company may incur higher costs for bicycle repairs. This would reduce the profit generated for certain levels of production. OC. Producing more of one type of bicycle requires producing fewer of another type of bicycle. The linear programming model does not account for this. OD. The company may acquire more units of aluminum and steel, which would allow for producing more bicycles. A linear programming model cannot account for this. To get Click to select your answer(s). view co learn a d 32.14 o Submitted