8. Pens Galore is celebrating their 20th Anniversary in business. To celebrate they are planning to have a very large picnic for their staff and families. A consultant has proposed a variety of activities for their consideration. Pens Galore has a limited budget but would like to have at least 4 activities. They must also consider the age requirements for the activities to ensure a broad mix of family members can enjoy the picnic. The options under consideration are: Cost ($) Activity Age Hours of requirement activity Zipper Over 12 8 Dunk tank Over 15 6 Cotton candy machine Over 1 Face painting Over 7 3.5 Bouncy castle Over 10 | 5 Merry go round Over 1 8 6 2500 700 500 450 1200 00 9 Based on their previous experience they would like: At most 2 activities with an age requirement greater than 9 At least 1 activity with an age requirement under 8 Exactly one of the Zipper or bouncy castle can be picked If the Face painting is chosen, then the Cotton candy machine must also be chosen. At most two rides that cost over $800 The total budget they have is $3500. Help Pens Galore decide which activities to build to maximize the hours of activity at the picnic. Formulate the LP model. 13 points