Charlie is a fisherman who manages a pond. He plans to supplement the intake of his carp with additional carbohydrates

(C) and protein (P). His two choices are rice bran (RB) which costs P6 per kilogram, and fish meal (FM) that costs P25 per

kilogram. The carbohydrate and protein contents are as follows:

Protein Carbohydrates

Rice bran 15% 40%

Fish meal 55% 20%

An aqua-culturist advised Charlie to add a minimum of 3800 kilograms of protein and 2600 kilograms of carbohydrates

to supplement his fish. How many kilograms of rice bran and fish meal should Charlie use while considering being cost-

efficient?

Required:

a. If Charlie were to purchase only rice bran, how many

kilograms would he need to purchase to comply the suggested

nutritional intake?

b. What would be the cost in letter a?

c. If Charlie were to purchase only fish meal instead, how many

kilograms would he need to purchase?

d. What would be the cost in letter d?

What would the combination with the lowest kilograms of rice

bran and fish meal be if Charlie wants to exactly comply with

the 3800 kilograms of protein and 2600 kilograms of

carbohydrates?

e. Rice bran

f. Fish meal

g. What would be the total cost in letters e and f?

What is the optimal combination of rice bran and fish meal that

Charlie should purchase?

h. Rice bran

i. Fish meal

j. Graphical representation of Rice bran to Fish meal combination showing the constraints