SSekBling for Cha-ChingYou can write a system of inequalities in two variables to model theconstraints in a problemn situation and then use linear programming tocompute optimal results,1. Christy uses glass beads to make bracelets and necklaces.It takes her 30 minutes to make a bracelet and 45 minutesto make a necklace. She works at most 40 hours a week.She wants to make at least 30 bracelets. The profit froma bracelet is $10, and the profit from a necklace is $18.Determine the number of bracelets and necklaces Christyshould make to maximize her profit. Show your work.4030-2010-10+-20-30-40ty0 1020 30 40 50b60 70 80X2. Compare the solution of a system of linear inequalitiesand the solution to an equation calculated bylinear programming.

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Answered: for Cha-Ching constraints in a problemn…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 54 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $500 for labor replacing shocks and $300 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do enter your response here shock replacements and enter your response here brake replacements every week to maximize his weekly income.
Linear programming model
5. Valencia babysits for $5 an hour. She also works as a tutor for $8 an hour. She is not allowed to work more than 20 hours a wee and she wants to earn at least $120. Write a system of inequalities. 6. y>-3x+5 a. b. Without graphing, determine which of the following satisfies the inequalities and explain. 5 hours babysitting, 10 hours tutoring 5 hours babysitting, 15 hours tutoring 8 hours babysitting, 13 hours tutoring The regions below were formed by graphing several inequalities. Write the coordinates of each vertex of the figure. Study each graph, and determine the inequalities used.
Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 48 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $400 for labor replacing shocks and $200 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do shock replacements and brake replacements every week to maximize his weekly income.
Management science SHORT ANSWER
ムShou A small firm has 220 squares of felt, 530 ounces of stuffing, and 90 feet of trim to make two types of toys. The bear requires 1 square of (a) What is the corresponding dual problem? felt and 3 ounces of stuffing. The monkey requires 2 squares of felt, 4 ounces of stuffing, and 1 foot of trim. The profit is $1 profit on each bear and $1.6 on each monkey. The problem to maximize profit and the final simplex tableau are below. Complete parts (a) through (c). Minimize w = 220y, +530y2 + 90y3 subject to Y1+3y2 2 1 Maximize Z=x, +1.6x2 subject to 2y,+4y2 + Y3 21.6 X1 + 3x, + 2x, s220 1 4x2 $530 Y120, y2 2 0, y3 2 0 X2 $90 Xq 20, x2 20 (b) What is the optimal solution to the dual problem? W3= |- 2 1 90 -1.5 0.5 1 25 1 1.5 -0.5 0 65 0.4 0.2 194 y3 (c) Use the shadow values to estimate the profit the firm will make if its supply of felt increases to 230 squares. The new profit is S ||
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 farmer wishes to buy some goats and cows. He has pasture for only 50 animals. Goats cost $300 each and cows $600 each. He can expect to make a profit of $250 on each goat and $350 on each cow. If he has $24000 to spend and he buys g goats and c cows, I. Formulate a linear programming model for this situation. II. Using a graph, find the numbers of goats and cows that will maximize profit. III. State the maximum profit.
Julie works no more than 40 hours per week during the school year. She is paid $16 an hour for mentoring students and $14 an hour for tutoring elementary students. She is paid $12 an hour as a personal grocery shopper. She wants to spend at least 10 hours but no more than 15 hours mentoring students. She also wants to spend 8 hours but no more than 12 hours as a personal grocery shopper. Find Julie’s maximum weekly earnings. (Linear Programming) m= # of hrs. spent mentoring t= # of hrs. spent tutoring p=# of hrs. spent personal grocery shopping Earnings=16m+14t+12p Total hours worked: m≥10 m≤15 t≥0 p≥8 p≤12 M+t+p≤40

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