--%>

Decision Variables

Determine Decision Variables:

Let X1 be the number of private homes to be inspected
Let X2 be the number of office buildings to be inspected
Let X3 be the number of industrial plants to be inspected

Objective Function

Max Z = X1 + X2 + X3

With subject to Constraints

(1) X1 + X2 + X3 ≤ 0.6X1 (private homes must be at least 60% of the total inspections)
This can be rewritten as 0.4X1 + X2 + X3 ≤ 0

(2) X2 ≥ 8 (minimum requirement for offices)
(3) X3 ≥ 8 (minimum requirement for plants)
(4) 2X1 + 4X2 + 6X3 ≤ 120 (electrical inspection)
(5) X1 + 3X2 + 3X3 ≤ 80 (gas inspection)
(6) 3X1 + 2X2 + X3 ≤ 100 (electrical inspection)
(7) Xi ≥ 0 (non-negativity)

   Related Questions in Basic Statistics

  • Q : Creating Grouped Frequency Distribution

    Creating Grouped Frequency Distribution: A) At first we have to determine the biggest and smallest values. B) Then we have to Calculate the Range = Maximum - Minimum C) Choose the number of classes wished for. This is generally between 5 to 20. D) Find out the class width by dividing the range b

  • Q : Point of estimate standing data se to

    standing data se to develop a point of estimate

  • Q : Principles of data analysis For the

    For the data analysis project, you will address some questions that interest you with the statistical methodology we are learning in class. You choose the questions; you decide how to collect data; you do the analyses. The questions can address almost any topic,

  • Q : Compute two sample standard deviations

    Consider the following data for two independent random samples taken from two normal populations. Sample 1 14 26 20 16 14 18 Sample 2 18 16 8 12 16 14 a) Com

  • Q : Calculate the p- value Medical tests

    Medical tests were conducted to learn about drug-resistant tuberculosis. Of 284 cases tested in New Jersey, 18 were found to be drug- resistant. Of 536 cases tested in Texas, 10 were found to be drugresistant. Do these data indicate that New Jersey has a statisti

  • Q : Creating Grouped Frequency Distribution

    Creating Grouped Frequency Distribution: A) At first we have to determine the biggest and smallest values. B) Then we have to Calculate the Range = Maximum - Minimum C) Choose the number of classes wished for. This is generally between 5 to 20. D) Find out the class width by dividing the range b

  • Q : State the hypotheses At Western

    At Western University the historical mean of scholarship examination score for freshman applications is 900. Population standard deviation is assumed to be known as 180. Each year, the assistant dean uses a sample of applications to determine whether the mean ex

  • Q : Sample z test and Sample t test A

    A random sample X1, X2, …, Xn is from a normal population with mean µ and variance σ2. If σ is unknown, give a 95% confidence interval of the population mean, and interpret it. Discuss the major diff

  • Q : Explain Service times Service times: A)

    Service times:A) In most cases, servicing a request takes a “short” time, but in a few occasions requests take much longer.B) The probability of completing a service request by time t, is independent of how much tim

  • Q : Problems on ANOVA We are going to

    We are going to simulate an experiment where we are trying to see whether any of the four automated systems (labeled A, B, C, and D) that we use to produce our root beer result in a different specific gravity than any of the other systems. For this example, we would l