The number of units of three products

Assignment Help Applied Statistics

Reference no: EM13831575

In the model X1, X2, and X3 are the number of units of three products or services to make. The constraints are: machine time (minutes), labor (hours), budget (in $), and a limit on the number of units of X3. The objective is to maximize profit. Note: assume that fractional results are allowed. Max profit = 22X1 + 20X2 + 10X3 s.t. Machine time: 8X1 + 3X2 + 4X3 <= 111 minutes Labor: 2X1 + 9X2 + 3X3 <= 300 hours Budget: 1X1 + 5X2 + 2X3 <= $190 Product 3: X3 <= 20 units a. What are the optimal solution and its profit? 6.66667, TP = 133.33 b. Which of the constraints are tight? Which are not tight? For those not tight, how much resource is left-over? P3 is tight. c. Give the range of values for the per unit profit on each product X1, X2, and X3 for which the current solution remains optimal. Please show your work.

Reference no: EM13831575

Questions Cloud

The same sample size are taken from a population : 1. Assume 50 random samples of the same sample size are taken from a population, and a 90% confidence interval is constructed from each sample. How many of the intervals would you expect to contain the true population mean?

15 years of experience is between what two numbers : A sample of 9 managers with over 15 years of experience has an average salary of $71,000 and a sample standard deviation of $18,000. Assuming that the salaries of managers with over 15 years experience are normally distributed, you can be 95% confide..

Draw a scatter diagram of y : (a) Draw a scatter diagram of y (blood pressure rise in millimeters of mercury) versus x (sound pressure level in decibels). Does a simple linear regression model seem reasonable in this situation? (b) Fit the simple linear regression model using lea..

Component of bile : The molecules to the right are a component of bile that is secreted into the intestines. This is considered to be an amphiphilic molecule.

The number of units of three products : In the model X1, X2, and X3 are the number of units of three products or services to make. The constraints are: machine time (minutes), labor (hours), budget (in $), and a limit on the number of units of X3. The objective is to maximize profit. Note:..

Attractive opportunities for growth and profitability : The national restaurant association publishes an annual industry factbook that can be found at wwwrstaurant.org. Based on information in the latest report, does it appear that macro-environmental factors and the economic characteristics of the indust..

The measure of the central angle for the class : If a Pie Chart were constructed for the weights of the salmon, what would be the measure of the central angle for the class weighing 200-249 grams?

Nation with low level of gdp and high growth rate : According to economic growth theory, the level of the GDP and the rate of the real GDP growth rate have different economic implications about economic well-being of a country. If you are given the options, would you rather live in a nation with a hig..

Why is it necessary for an organization to plan : ESSAY- Why is it necessary for an organization to plan?

User Account

All Pages