Robotix manufacture three robots: Mavis, Charles and Koala; each with different capabilities. All three require special...

Robotix manufacture three robots: Mavis, Charles and Koala; each with different capabilities. All three require special circuits, of which up to 1,000 can be obtained each week. Mavis takes three of them, Charles four of them and Koala six of them. Work is limited to 400 hours per week. The construction of each Mavis consumes two working hours, Charles one hour and Koala three hours. Profits are $500, $250 and $400 respectively for each Mavis, Charles and Koala that is sold. The Robotix has signed a contract with a major customer to make and supply at least 100 Mavis, 100 Charles and 30 Koala each week.

(a) Set up the liner programming problem (variables, objective function, constraints, etc.) Use Excel Solver to answer the following Question:

(b) How many of each robot should Robotix make per week to maximize total profit? What is the maximum profit?

(c) If the profit per Mavis is increased to $510, does the optimal solution change and why? What should be the new optimal profit?

(d) With overtime, the company may increase the working hours to 460 hours. Should the company do that? How much more they can get in profit?

(e) Should the company increase the quantity of each robot? Explain.

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

Manufacture of a certain component requires three different machining operations. Machining time for each operation is...

Manufacture of a certain component requires three different machining operations. Machining time for each operation is normally distributed and the three times are independent of one another. The mean values are 15, 30, and 20 minutes respectively. Their standard deviations are 1, 2, and 1.5 minutes respectively. What is the probability that it takes at least 1.5 hour of machining time to produce a randomly selected item

Manufacture of a certain component requires three different machining operations. Machining time for each operation has...

Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 15, 20, and 30 min, respectively, and the standard deviations are 2, 1, and 1.7 min, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.)

A company uses three different assembly lines – A1, A2, and A3 – to manufacture a...

A company uses three different assembly lines – A1, A2, and A3 – to manufacture a particular component. Of those manufactured by line A1, 5% need rework to remedy a defect, whereas 8% of A2’s components need rework and 10% of A3’s need rework. Suppose that 50% of all components are produced by line A1, 30% are produced by line A2, and 20% come from line A3. (a) Suppose a component is selected at random, what is the probability that...

For each of the situations below, write three different equations for x(t) that all describe the...

For each of the situations below, write three different equations for x(t) that all describe the same motion. One of your three equations must use sine, one of your three equations must use cosine, and at least one must use a non-zero phase shift (ϕ), whose value you should specify. A mass-spring system of angular frequency ω is stretched to x=+A and released. The time is started so that t=0 is when the mass passes through the equilibrium position at...

Research Paradigms: Different kinds of research require different types of paradigms. Identify three types of research...

Research Paradigms: Different kinds of research require different types of paradigms. Identify three types of research and the appropriate paradigm for each.

4. Problems and Applications Q4 An economy consists of three workers: Charles, Gilberto, and Lorenzo. Each...

4. Problems and Applications Q4 An economy consists of three workers: Charles, Gilberto, and Lorenzo. Each works 10 hours a day and can produce two services: mowing lawns and washing cars. In an hour, Charles can either mow 1 lawn or wash 1 car; Gilberto can either mow 1 lawn or wash 2 cars; and Lorenzo can either mow 2 lawns or wash 1 car. For each of the scenarios listed in the following table, determine how many lawns will...

Describe three populations of users with special needs. For each of these populations, suggest three ways...

Describe three populations of users with special needs. For each of these populations, suggest three ways current interfaces could be improved to better serve them. Submit a typed written document that includes the three chosen populations. Your paper should be a minimum of two pages long and should include an introduction and a conclusion. Your paper should be formatted per AP

In SPECIAL RELATIVITY, what or why is - choose one of the three alternatives each for...

In SPECIAL RELATIVITY, what or why is - choose one of the three alternatives each for a) - d) a) AN EVENT (1. A line in spacetime - 2. A point in spacetime - 3. A space in spacetime) b) GENERALLY REFFERED TO AS "THE INTERVAL" (1. Time interval between events - 2. Space interval between events - 3. Spacetime interval between events) c) TIME MULTIPLIED WITH SPEED OF LIGHT (1. To give time the same unit as space -...

Recall that a database has many types of users, each of whom may require a different...

Recall that a database has many types of users, each of whom may require a different view of the database. The database user responsible for creating database accounts in a DBMS like Oracle is called the: The database administrator (DBA) Database end user DBMS system builder Database designer none of the above Which of the following can be an example of a multi-valued attribute in ER modeling of a database? address last name middle name country none of the above...

Write an examples for each of the three special types of binomial (difference of squares, difference...

Write an examples for each of the three special types of binomial (difference of squares, difference of cubes, and sum of cubes). Factor each of them and share your results.

Subjects