Christine's butter cookies sells large tins of butter cookies and small tins of butter cookies. the factory can prepare at most 200 tins of cookies a day. each large tin of cookies requires 2 pounds of butter, and each small tin requires 1 pound of butter, with a maximum of 300 pounds of butter available each day. the profit from each day's cookie production can be estimated by the function f(x, y)$6.00x+$4.80y, where x represents the number of large tins sold and y the number of small tins sold.

The profit = $1080

Step-by-step explanation:

Let number of large tins = x

Let number of small tins = y

x + y = 200 (1)

since amount of butter used in large tin = 2 pounds

and amount of butter used in small tin = 1 pound

and total amount of butter used = 300 pound

2x + y = 300 (2)

by subtracting (1) by (2)

( 2x + y ) - ( x + y ) = 300 - 200

2x + y - x - y = 100

x = 100  ( from equation (1)

100 + y = 200

y = 200 - 100

y = 100

Now the expression given for the profit by selling x large tines of cookies and y as small tins is

f (x,y) = 6.00x + 4.80y

= 6.00 × 100 + 4.80 × 100

= 600 + 480

= $1080

Factory can prepare 100 large tins and 100 small tins of butter cookies and the profit of $1080 each day.

step-by-step explanation:

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.