Statistics

aluminum The company has available 61200 units of steel and 28.500 units of aluminum The racing. touring. and mountain models need 17. 13, and 34 units of steel. and 12. 18. and 15 units of aluminum. respectively Complete parts (a) through (d) below. Amanufacturer of bicycles builds racing. touring. and mountain models. The bicycles are made of both steel and OK (a) How many of each type of bicycle should be made in order to maximize prot if the company makes $9 per racing bike, $11 per touring bike. and $23 per mountain bike'7 Let x' 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= x1+ x2+ x3 (b) What is the maximum possible profit? (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. (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. Find the compound amount for the deposit and the amount of interest earned. $780 at 5 9% compounded semiannually for 14 years (E Identify the formula needed to find the compound amount and substitute the appropriate values into it. Select the correct answer below and ll in any answer boxes within your choice, The compound amount after 14 years is The amount of interest earned is $ t Find the compound amount for the deposit and the amount of interest earned. $6300 at 7.7% compounded quarterly for 7 years Identify the formula needed to nd the compound amount and substitute the appropriate values into it Select the correct answer below and ll in any answer boxes within your choice. OA.A= (\"Wt ) .77 (DB-A: [1+oo ] C)C.A= [1+o.077( )] The compound amount after 7 years is The amount of interest earned is $