Question

Below is a Linear Programming problem scenario and algebraic formulation. Review the scenario and identify what if any errors there are in the algebraic formulation. Select all that apply.  

Sage Lorimer runs a small chain of jewelry boutiques. She has hired a Marketing Intern to help choose the number and types of advertising that should be used to promote the stores. The table below shows the types of advertising available over the next month and the unit cost. Sage wants to ensure the largest number of people see the ads. The total advertising budget is $75,000.   

Advertisement Type	Exposure (people/Ad)	Cost ($/Ad)	Ad Bookings Available
Online Media Ad	8,000	$1,000	unlimited
Newspaper Ad	10,000	$3,000	15 ads
Radio Ad	15,000	$4,000	10 ads
Television Ad	30,000	$8,000	5 ads

Algebraic LP Problem Formulation:

Let X_i = the # of Ads of Type i to buy with i = {1 for Online Media, 2 for Newspaper Ads, 3 for Radio Ads, and 4 for Television Ads}

Z = $8,000X₁ + $10,000X₂ + $15,000X₃ + $30,000X₄    

Subject To:

1,000X1 + 3,000X2 + 4,000X3 + 8,000X4	≤ 75,000	Ad Budget Constraint
X2	≤ 15 ads	Newspaper Ad Supply Constraint
X3	≤ 10 ads	Radio Ad Supply Constraint
X4	≤ 5 ads	TV Ad Supply Constraint
X1 + X2 + X3 + X4	≥ 0
X1 , X2 , X3 , and X4	Integer values	Integer Constraints

Do NOT attempt to solve this linear program.

Select one or more:

a. Integer constraints not needed.

b. Constraint label(s) missing

c. Missing Non-negativity constraints

d. Objective Function has the wrong units of measure

e. Constraint Right Hand Sides missing units of measure

f. Constraint Right Hand Sides should be constraint coefficients

g. Variable limit constraints not needed

h. Constraint labels are not sufficiently descriptive

i. Maximize vs. Minimize not stated

Please help me ASAP, because I need it before 2PM . Thank you all.

Answer 1

formula:

steps:data->solver

is the output

maximum profit=600000

X1=75,X2=0,X3=0,X4=0

Also,Ad budget=75000

Newspaper ad supply=0

Radio Ad supply=0

TV Ad supply=0

constraint=75

please rate my answer and comment for doubts.