Explanation Given Information: The provided information is as follows, “An automobile manufacturer has assembly plants in Detroit and Cleveland. Each plant produces cars and trucks. The Detroit plant can produce at most 800 vehicles in one day at a cost of $1200 per car and $2100 per truck whereas the Cleveland plant can produce at most 500 vehicles in one day at a cost of $1000 per car and $2000 per truck. An order is received for 600 cars and 300 trucks.” Calculation: Consider the provided information, “An automobile manufacturer has assembly plants in Detroit and Cleveland. Each plant produces cars and trucks. The Detroit plant can produce at most 800 vehicles in one day at a cost of $1200 per car and $2100 per truck whereas the Cleveland plant can produce at most 500 vehicles in one day at a cost of $1000 per car and $2000 per truck. An order is received for 600 cars and 300 trucks.” Let x be the number of cars to be produced in Detroit and y be the number of trucks to be produced in Detroit. Then the number of cars to be produced in Cleveland is 600 − x and number of trucks to be produced in Cleveland is 300 − y . Draw the table of the above information, Detroit cars Detroit trucks Cleveland cars Cleveland trucks Cost $1200 $2100 $1000 $2000 Variables x y 600 − x 300 − y Then, the provided problem becomes, Minimize 1200 x + 2100 y + 1000 ( 600 − x ) + 2000 ( 300 − y ) subject to the constraints, { x + y ≤ 800 ( 600 − x ) + ( 300 − y ) ≤ 500 x ≥ 0 , y ≥ 0 600 − x ≥ 0 300 − y ≥ 0 The above problem can be written as follows, Minimize 1 , 200 , 000 + 200 x + 100 y subject to the constraints, { y ≤ − x + 800 y ≥ − x + 400 x ≥ 0 , y ≥ 0 x ≤ 600 y ≤ 300 Now, consider each inequality as an equation of line and draw the graph of all lines. Consider the table below

Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)

12th Edition

ISBN: 9780137442966

Author: Larry Goldstein, David Schneider

Publisher: PEARSON+

See similar textbooks

Videos

Question

Chapter 3.4, Problem 26E

To determine

To calculate: The number of cars and trucks each plant should produce to complete the order at the least cost.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.4, Problem 25E

Chapter 3.4, Problem 27E

Students have asked these similar questions

Find the LaPla se trnsofrom of a) chi-square Distribution. b) Normal Distribution. C) Gamma Distribution. prove that Binomial (n, 2) Poisson (2) *********************

2.2, 13.2-13.3) question: 5 point(s) possible ubmit test The accompanying table contains the data for the amounts (in oz) in cans of a certain soda. The cans are labeled to indicate that the contents are 20 oz of soda. Use the sign test and 0.05 significance level to test the claim that cans of this soda are filled so that the median amount is 20 oz. If the median is not 20 oz, are consumers being cheated? Click the icon to view the data. What are the null and alternative hypotheses? OA. Ho: Medi More Info H₁: Medi OC. Ho: Medi H₁: Medi Volume (in ounces) 20.3 20.1 20.4 Find the test stat 20.1 20.5 20.1 20.1 19.9 20.1 Test statistic = 20.2 20.3 20.3 20.1 20.4 20.5 Find the P-value 19.7 20.2 20.4 20.1 20.2 20.2 P-value= (R 19.9 20.1 20.5 20.4 20.1 20.4 Determine the p 20.1 20.3 20.4 20.2 20.3 20.4 Since the P-valu 19.9 20.2 19.9 Print Done 20 oz 20 oz 20 oz 20 oz ce that the consumers are being cheated.

T Teenage obesity (O), and weekly fast-food meals (F), among some selected Mississippi teenagers are: Name Obesity (lbs) # of Fast-foods per week Josh 185 10 Karl 172 8 Terry 168 9 Kamie Andy 204 154 12 6 (a) Compute the variance of Obesity, s²o, and the variance of fast-food meals, s², of this data. [Must show full work]. (b) Compute the Correlation Coefficient between O and F. [Must show full work]. (c) Find the Coefficient of Determination between O and F. [Must show full work]. (d) Obtain the Regression equation of this data. [Must show full work]. (e) Interpret your answers in (b), (c), and (d). (Full explanations required). Edit View Insert Format Tools Table

Chapter 3 Solutions

Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)

Ch. 3.1 - Graph the inequality 3xy3.Ch. 3.1 - Graph the feasible set for the system of...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 5-7, solve for x, 2x53 Ch. 3.1 - Prob. 6E Ch. 3.1 - In Exercises 5-7, solve for x, 7. Ch. 3.1 - Which of the following results from solving x+13...

Knowledge Booster

Learn more about

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

The number of cars and trucks each plant should produce to complete the order at the least cost.

Solution Summary: The author calculates the number of cars and trucks each plant should produce to complete the order at the least cost.

Videos

To calculate: The number of cars and trucks each plant should produce to complete the order at the least cost.

Want to see the full answer?

Chapter 3 Solutions