Chapter 5.3, Problem 3P

Explanation of Solution

Calculating the extra payment:

• Let BR is the number of brownies eaten daily, IC be the number of scoops of chocolate ice cream eaten daily, CLA is the number of bottles of cola drunk daily and PCS be the pieces of pineapple cheesecake eaten daily.
• In order to minimize the cost of diet, the following Linear Programming has to be solved:
• min z= $50BR+20IC+30CLA+80PCS$
• Such that,
  • $400BR+200IC+150CLA+500PCS\ge 500$
  • $3BR+2IC\ge 6$
  • $2BR+2IC+4CLA+4PCS\ge 10$
  • $2BR+4IC+CLA+5PCS\ge 8$
  • $BR,IC,CLA,PCS\ge 0$
• The output of this Linear Programming is given below:
• min z=$50BR+20IC+30CLA+80PCS$
• Subject to constraint
  • $400BR+200IC+150CLA+500PCS\ge 500$
  • $3BR+2IC\ge 6$
  • $2BR$