Question

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.

Answer 1

well,

p = 1,080.00; for x = 100, y = 100

Answer 2

The profit = $1080

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.