A fruit juice company makes two kinds of juice blends, each in 1-gallon bottles. the regular...

90.2K

Verified Solution

Question

Advance Math

A fruit juice company makes two kinds of juice blends, each in1-gallon bottles. the regular mixes 1/2 gallon of orange juice and1/2 gallon of pineapple juice, while the tropical mix uses 3/4gallon of orange juice and 1/4 gallon of pineapple juice. thecompany wants to maximize its profit from selling r bottles of theregular juice mix and t bottles of the tropical juice mix madeusing 225 gallons of orange juice and 150 gallons of pineapplejuice it currently has on hand.

a. Give four constrants the company must take intoconsideration to maximize the profit.

b. Graph and shade the region bounded by the constraints frompart a.

c. If the regular juice blend makes a $2.50 profit per bottlesold and the tropical juice makes a $1.75 profit per bottle sold,the profit from selling r bottles of the regular blend and tbottles of the tropical blend is P=2.5r + 1.75t. the maximum profitmaximum value found when evaluating the profit function at eachvertex on the graph (or the closest to the vertex with values thatmakes sense in context). What’s the maximum profit, and how manybottles of each type of juice blend will be sold to make thatprofit? Assume all manufactured bottles are sold.

Answer & Explanation Solved by verified expert
4.1 Ratings (804 Votes)
a In making bottles of regular heneeds of orange and ofpine apple In making bottles of tropical heneeds of orange and ofpineapple All in gallonsThus he uses    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students