The Reyes want grilled chicken and tilapia for dinner. Mrs. Reyes finds that chicken sells at Php 150 per kilogram and
tilapia sells at Php 100 per kilogram. How many kilograms of
each she buy if the total cost is not to exceed to Php 450?

Kilogram of chicken = 1

Kilogram of tilapia = 3

Step-by-step explanation:

Cost of chicken = 150 per kilo

Cost of tilapia = 100 per kilo

Number of kilos of each if total cost should not exceed 450

Let :

Number of kilo of chicken = x

Number of tilapia kilo = y

The constraint :

150x + 100y ≤ 450

We could choose some reasonable values of x and y then, test the constraint ;

If x = 1 and y = 3

150(1) + 100(3) = 450

Hence,

1 kilo of chicken with 3 kilos of tilapia offers the greatest combination of Number of kilograms of tilapia and chicken that could be purchased and still satisfy the maximum cost constraint.

step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: