A toy manufacturer make bikes, for a profit of $12, and wagons, for a profit of $10. To produce a bike requires 2 hr of machine time and 4 hr painting time. To produce a wagon requires 3 hr machine time and 2 hr painting time. There are 12 hr of machine time and 16 hr of painting time available per day. If the manufacturer must produce at least two bikes and two wagons daily, how many of each toy should be produced to maximize profit? Let x be the number of bikes and y be the number of wagons.

A toy manufacturer make bikes, for a profit of $12, and wagons, for a profit of $10. To produce a bike requires 2 hr of machine time and 4 hr painting time. To produce a wagon requires 3 hr machine time and 2 hr painting time. There are 12 hr of machine time and 16 hr of painting time available per day. If the manufacturer must produce at least two bikes and two wagons daily, how many of each toy should be produced to maximize profit? Let x be the number of bikes and y be the number of wagons.

Name: A toy manufacturer make bikes, for a profit of$12, and wagons, for a
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: A toy manufacturer make bikes, for a profit of$12, and wagons, for a profit of $10. To producea bike requires 2 hr of machine time and 4 hrpainting time. To produce a wagon requires 3 hrmachine time and 2 hr painting time. There are12 hr of machine

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 5. The students of 8-Maxwell sells photographs at art fairs. They prices the photos according to…

A: Let students sells x,y and z numbers of small,medium and large photos to pay for the booth…

Q: A company has $14,450 available per month for advertising. Newspaper ads cost $160 each and can't…

A: Step 1: Define the Objective FunctionThe objective is to maximize the number of ad exposures to…

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: First we will construct a linear programming problem using the given informations and then we will…

Q: A has $6,750 available per month for advertising. Newspaper ads cost $160 each and can't run company…

A: Given -A company has $6,750 available per month for advertising. Newspaper ads cost $160 each and…

Q: Carlo and Anita make mailboxes and toys in their craft shop near Lincoln. Each mailbox requires 1…

Q: A company has $10,390 available per month for advertising. Newspaper ads cost $190 each and can't…

Q: A company has $12,890 available per month for advertising. Newspaper ads cost $190 each and can't…

Q: A manufacturer of skis produces two types: downhill and cross-country. The times required for…

Q: Lisa is planning an event. She needs to rent tables that will seat at least 60 people. There are 5…

Topic Video

Question

A toy manufacturer make bikes, for a profit of
$12, and wagons, for a profit of $10. To produce
a bike requires 2 hr of machine time and 4 hr
painting time. To produce a wagon requires 3 hr
machine time and 2 hr painting time. There are
12 hr of machine time and 16 hr of painting time
available per day. If the manufacturer must
produce at least two bikes and two wagons
daily, how many of each toy should be produced
to maximize profit?
Let x be the number of bikes and y be the
number of wagons.
Objective Function:
Max
Subject to:
Optimal production policy:
Produce
bikes
and
wagons

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Ginny knits two different capes. The ‘Ginny’ model requires 3 hours of knitting and 7 hours to embellish the cape. The ‘Helen’ model requires 5 hours to knit and 5 hours to embellish the cape. Ginny has at most 60 hours a month to knit the capes and at most100 hours a month to embellish the capes. How many capes should she make to maximize her profit if she makes a profit of $80 on each ‘Ginny’ cape and a profit of $100 on each ‘Helen’.
help
UB is hosting a charity event and makes a profit of $14 on each faculty in attendance and $6 on each student in attendance. The number of faculty attending must be between 25 and 65, and the number of students should be between 20 and 35. The total number of attendees should not exceed 80. How many faculty should attend to maximize profit?
school is having an sports event. each fake hair cost 10$ and sells at 13$, take away 2inches of table . each candle box cost 4$ and sells at 12$, takes 6inches of table. each golf cap cost 10$ and sells at 24$, and takes away 10 inches of the table. The table is 60inches long and 30inches wide. the total budget is 4000 dollars. How to maximize the profit.
A peanut company sells a mixture of two types of beans. The cheapest mixture contains 80% lean peanuts and 20% pithy beans, while the most expensive bean contains 50% of each type. Every week the company can earn 1,800 kg of lean peanuts and 1,200 pithy peanuts. How many kg of each mixture must be made to maximize profit if the profit is Rp. 100 for each cheap mixture and Rp. 150 from the expensive mixture?a. Formulate the problem?b. Finish with a graphic method?
Carlo and Anita make mailboxes and toys in their craft shop near Lincoln. Each mailbox requires 4 hours of work from Carlo and 4 hours from Anita. Each toy requires 2 hours of work from Carlo and 4 hours from Anita. Carlo cannot work more than 16 hours per week and Anita cannot work more than 20 hours per week. If each mailbox sells for $9 and each toy sells for $13, then how many of each should they make to maximize their revenue? What is their maximum revenue? ---- Carlo and Anita should make mailboxes and toys. Their maximum revenue is $
A company has $11,270 available per month for advertising. Newspaper ads cost $180 each and can't run more than 21 times per month. Radio ads cost $570 each and can't run more than 34 times per month at this price. Each newspaper ad reaches 7200 potential customers, and each radio ad reaches 7800 potential customers. The company wants to maximize the number of ad exposures to potential customers. Use n for number of Newspaper advertisements and r for number of Radio advertisements. subject to Maximize P - 21 <34 <$11, 270 Enter the solution below. If needed, round ads to 1 decimal palace and group exposure to the nearest whole person. Number of Newspaper ads to run is Number of Radio ads to run is Maximum target group exposure is people
Janus owns a small bakery that specilaize in 3 layer cakes dcorated with roses.He employs marcisa and annie.Each month janus wants to make $4000 and he would pay his two employees $3000 each.the fixed cost of rent etc.is $5400/month.They sell the cakes for $50 each and the cost of making each cake is $15. Recall that profit is revenue-cost.Revenue is selling prices times items made.and cost is fixed cost plus the cost of each item times the number of items