A local PTA prepares goodie bags to sell at all school functions. Each bag conta

Question

A local PTA prepares goodie bags to sell at all school functions. Each bag contains jelly beans, candy, and gum in the following amounts :

Jelly beans / Candy / Gum

16 8 5 Small size
20 16 3 Large size
1320 912 315 Number of Pieces available

The small bags sell for $1 and the large bags sell for $1.50

a) how many of each size should be prepared in order to maximize total profits?
b) define all variables and set up linear programming problem that defines the problem

SHOW ALL WORK NO GUESS AND CHECK ALLOWED

please help=/ upload pic if possible
i will rate lifesaver to person who can show all work and answer

Explanation / Answer

a) x small bags and y large bags 1320 = 16x+20y 912 = 8x+16y 315 = 5x+3y and net profit = x*1+y*1.5 solving for x and y from the above equations gives us answer for part (a) 1320 = 16x +20y 1824 = 16x + 32y 12y = 504 y = 42 and x =30 and so small bags=30 large bags = 42

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.