The SM Shopping Mall conducts special events to attract potential patrons to its premises. The two most popular events that seem to attract teenagers, the young/middle-aged group, and the senior citizens are band concerts and art and craft shows. The cost per presentation of the band and art show are 1500 PhP and 3000 PhP, respectively. The total (strict) annual budget allocated to the two events is 15000 PhP. The mall manager estimates the attendance of the events as follows: Event Band Concert Number of attending per presentation Teenagers 200 Young/middle age Seniors 100 Art Show 400 250 The manager has set the minimum goals of 1000, 1200, and 800 for the attendance of teenagers, the young middle-aged group, and seniors, respectively. a. Suppose that the goal of attracting young/middle-aged people is twice as important as either of the other two categories (teens and seniors). Find the associated solution, and check if all the goals have been met. b. Suppose that the goals set for teens, the young/middle-aged group, and the seniors are referred to as G1, G2, and G3, respectively. Solve the problem using the orders: G3 > G2 > GI. c. Use excel to estimate the solution of GP.
The SM Shopping Mall conducts special events to attract potential patrons to its premises. The two most popular events that seem to attract teenagers, the young/middle-aged group, and the senior citizens are band concerts and art and craft shows. The cost per presentation of the band and art show are 1500 PhP and 3000 PhP, respectively. The total (strict) annual budget allocated to the two events is 15000 PhP. The mall manager estimates the attendance of the events as follows: Event Band Concert Number of attending per presentation Teenagers 200 Young/middle age Seniors 100 Art Show 400 250 The manager has set the minimum goals of 1000, 1200, and 800 for the attendance of teenagers, the young middle-aged group, and seniors, respectively. a. Suppose that the goal of attracting young/middle-aged people is twice as important as either of the other two categories (teens and seniors). Find the associated solution, and check if all the goals have been met. b. Suppose that the goals set for teens, the young/middle-aged group, and the seniors are referred to as G1, G2, and G3, respectively. Solve the problem using the orders: G3 > G2 > GI. c. Use excel to estimate the solution of GP.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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Transcribed Image Text:The SM Shopping Mall conducts special events to attract potential patrons to its premises.
The two most popular events that seem to attract teenagers, the young/middle-aged group, and
the senior citizens are band concerts and art and craft shows. The cost per presentation of the
band and art show are 1500 PhP and 3000 PhP, respectively. The total (strict) annual budget
allocated to the two events is 15000 PhP. The mall manager estimates the attendance of the
events as follows:
Number of attending per presentation
Teenagers
200
Young/middle age Seniors
100
400
Event
Band Concert
Art Show
250
The manager has set the minimum goals of 1000, 1200, and 800 for the attendance of teenagers,
the young middle-aged group, and seniors, respectively.
a. Suppose that the goal of attracting young/middle-aged people is twice as important as either
of the other two categories (teens and seniors). Find the associated solution, and check if all
the goals have been met.
b. Suppose that the goals set for teens, the young/middle-aged group, and the seniors are
referred to as G1, G2, and G3, respectively. Solve the problem using the orders: G3 > G2 > G1.
c. Use excel to estimate the solution of GP.
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