--%>

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 : Define Utilization Law Utilization Law

    Utilization Law: • ρk = XK . SK = X . DK • Utilization of a resource is the fraction

  • Q : Cumulative Frequency and Relative

    Explain differences between Cumulative Frequency and Relative Frequency?

  • Q : Compare the test results The grade

    The grade point averages of 61 students who completed a college course in financial accounting have a standard deviation of .790. The grade point averages of 17 students who dropped out of the same course have a standard deviation of .940. Do the data indicate a

  • 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 : Variance and standard error A hospital

    A hospital treated 412 skin cancer patients over a year. Of these, 197 were female. Give the point estimate of the proportion of females seeking treatment for skin cancer. Give estimates of the

  • Q : What is your conclusion The following

    The following data were collected on the number of emergency ambulance calls for an urban county and a rural county in Florida. Is County type independent of the day of the week in receiving the emergency ambulance calls? Use α = 0.005. What is your conclusion? Day of the Week<

  • Q : Problem on queuing diagram Draw a 

    Draw a queuing diagram for the systems below and describe them using Kendall’s notation: A) Single CPU system <

  • 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 : Define Operational Analysis

    Operational Analysis: • Analysis method based on the measurement of the operational characteristics of the system.

    Q : STATISTICS Question This week you will

    This week you will analyze if women drink more sodas than men.  For the purposes of this Question, assume that in the past there has been no difference.  However, you have seen lots of women drinking sodas the past few months.  You will perform a hypothesis test to determine if women now drink more