--%>

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 : 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

  • Q : State Kendalls notation

    Kendall’s notation:  A/B/C/K/m/Z A, Inter-arrival distribution M exponential D constant or determ

  • Q : Develop the most appropriate regression

    Predicting Courier Costs The law firm of Adams, Babcock, and Connors is located in the Dallas-Fort metroplex.  Randall Adams is the senior and founding partner of the firm.  John Babcock has been a partne

  • Q : Data Description 1. If the mean number

    1. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.) A. 2.1% B. 4.5% C. 0.3% D. 4.2% 2. The probability of an offender having a s

  • 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 : What is Interactive Response Time Law

    Interactive Response Time Law: • R = (L/X) - Z• Applies to closed systems.• Z is the think time. The time elapsed since&nb

  • Q : Model Checking Approach Model Checking

    Model Checking Approach: • Specify program model and exhaustively evaluate that model against a speci?cation        –Check that properties hold   

  • Q : Statistics for Management Assignment

    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 : Define Utilization Law Utilization Law

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