Problem 1 – 3

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A candidate for mayor in Newtown, PA has allocated \$40,000 for last-minute advertising in the days preceding the election. Two types of ads will be used: newspaper and television. Each newspaper ad costs \$300 and reaches an estimated 4,000 people. Each television ad costs \$500 and reaches an estimated 7,000 people. In planning the advertising campaign, the campaign manager would like to reach as many people as possible, but she has stipulated that at least 10 ads of each type must be used. Also, the number of newspaper ads must be at least 10% more than the number of television ads.

Let N = # of Newspaper ads; T = # of TV ads

1) How would you write the constraint for requiring 10% more newspaper ads than TV ads?

a) N 1.1

b) N + T 1.1

c) N – 0.1T 0

d) N – 1.1T 0

e) None of the above

2) What is the budget constraint for this problem?

a) 4,000N + 7,000T 40,000

b) 500N + 300T 40,000

c) 500N + 300T 40,000

d) 300N + 500T 40,000

e) None of the above

3) What is the objective function for this problem?

a) Minimize Cost = 300N + 500T

b) Maximize Spending = 40,000(N + T)

c) Maximize Profit = 300N + 500T

d) Maximize Reach = 4,000N + 7,000T

e) None of the above

Problem 4: In linear Programming, a constraint that does not affect the feasible region is

(a) non-negativity constraint.

(b) redundant constraint.

(c) standard constraint.

(d) slack constraint.

(e) none of the above

Problem 5: Forecast errors

(a) are the difference in successive values of a time series

(b) are the differences between actual and forecast values

(c) should all be nonnegative

(d) should be summed to judge the goodness of a forecasting model

(e) none of the above

Problem 6: Consider the LP below:

Determine if the LP:

(a) Has no feasible solution

(b) Is unbounded

(c) Has redundant constraints

(d) None of the above

Problem 7-8: The following table shows the unemployment rate in Pennsylvania for the last nine years.

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