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.

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: