1. Consider the problem of a toy company that produces toy planes and toy boats. The toycompany can sell its planes for S10 and its boats for S8 dollars. A plane requires 3 hours to makeand 1 hour to finish while a boat requires 1 hour to make and 2 hours to finish. The toy companyknows it will not sell more than 35 planes per week. Further, given the number of workers, thecompany cannot spend more than 160 hours per week finishing toys and 120 hours per weekmaking toys. The company wishes to maximize the sales/revenue it makes by choosing howmuch of each toy to produce.A. Develop the linear programming model that maximizes sales/revenue.B. Use online graphing tool to determine the feasible solution. Take a screenshot of it.C. What are the corner points of the feasible region?D. How many of each type of toy must he produce to maximize sales/revenue? What is themaximum sales/revenue?PLANEВОАТREVENUE108ΤIΜE ΤΟ ΜΑΚΕ31120TIΜE ΤΟ FINISH12160

Let x be the number of planes and y be the number of boats The objective is to maximize the revenue…

Answered: 1. Consider the problem of a toy…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A company manufactures three types of leather belts, namely A B and C. The unit profits from these three varieties are 10, 5 and 7 respectivel Leather is sufficient for only S00 belts per day (all types together) Belt A requires thrice the time of belt B and belt C requires twice the time of B. If all the belts of type B are produced, a maximum of 1,000 belts per day can be produced. Belt A requires a fancy buckle and 150 such buckles per day are availlable. There are sufficient number of buckles for the other varieties. Determine using simplex method, how many belts of each type be produced to maximize the total profit.
The table below represents consumption along Edgar's budget constraint, with each row representing a possible consumption bundle. Edgar derives 50 unites of happiness from eating his first hot dog, 40 units for the recond hot dog, 30 unites for the third hot dog, and so on with added utility declining by 10 for each hot dog consumed. The first soda provides 30 unites and declines by steps iof 3 for each additional soda. Using this information identify the optional (highest utility) consumption for Edgar. Hot dogs Soda 0 10 1 8 2 6 3 4 4 2 5 0 a.) 2 hot dogs & 6 sodas b.) 1 hot dog & 8 sodas c.) 3 hot dogs & 4 sodas d.) 5 hot dogs & 0 sodas
5) A factory owner has 100 employees that produce 6000 computers per day. For each additional employee that the owner highers, the average production per employee decreases by 8 computers. How many employees should the owner have in order to maximize production?
Answer the question below.
A paper manufacturing company converts wood pulp to writing paper and newsprint. The profit on a unit of writing paper is $500 and the profit on a unit of newsprint is $350. Solve, a. Let x represent the number of units of writing paper produced daily. Let y represent the number of units of newsprint produced daily. Write the objective function that models total daily profit. b. The manufacturer is bound by the following constraints: * Equipment in the factory allows for making at most 200 units of paper (writing paper and newsprint) in a day. * Regular customers require at least 10 units of writingpaper and at least 80 units of newsprint daily. Write a system of inequalities that models these constraints. c. Graph the inequalitiers in part (b) Use only the first quadrant, because x and y must both be positive. (Suggestion: Let each unit along the x- and y-axes represent 20.) d. Evaluate the objective function at each of the three vertices of the graphed region. e. Complete the missing…
Refer to the production possibilities curves for Chairland and Tableland. Chairland can produce 36 chairs per day and no tables, or 18 tables table per day and no chairs. Tableland can produce 40 chairs per day and no tables, or 40 tables per day and no chairs. If the two countries split the difference between the buyer's willingness to pay for tables and the seller's willingness to accept, in terms of the number of chairs for 1 table, the terms of trade will be . (Enter your response rounded to one decimal place.) Country Quantity per day Opportunity cost of chairs Opportuity cost of tables Tableland 40 chairs, 40 tables 1 table 1 chair Chairland 36 chairs, 18 tables 1/2 table 2 chairs
General Ford produces cars in Los Angeles and Detroit and has a warehouse in Atlanta. The company supplies cars to customers in Houston and Tampa. The costs of shipping a car between various points are listed as the table below. where a blank means that a shipment is not allowed. Los Angeles can produce up to 1600 cars, and Detroit can produce up to 3200 cars. Houston must receive 1800 cars, and Tampa must receive 2900 cars. 1. Determine how to minimize the cost of meeting demands in Houston and Tampa. 2. Modify the answer to part a if no shipments through Atlanta are allowed. From LA Detroit Atlanta Houston Tampa To LA Detroit $97 $94 $87 $129 $147 $100 $103 $145 Atlanta Houston $95 $125 $103 $110 $95 $88 $60 $103 Tampa $156 $148 $56 $100

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