A restaurant earns $1445 on Friday and $1624 on Saturday. Write and solve an equation to find the amount xx (in dollars) the res
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Answer:
The dimensions that minimize the amount of cardboard used is
x = 31 cm , y = 34 cm & Z = 15.54 cm
Step-by-step explanation:
Volume of the cardboard = 16,384
The function that represents the area of the cardboard without a lid is given by
------ (1)
Volume of the cardboard with sides x, y & z is
Put this value of z in equation (1) we get
Differentiate above equation with respect to x & y we get
Take
------ (2)
------- (3)
By solving equation (2) & (3) we get
x = 31 cm
From equation 2
y = 32768 ()
y = 34 cm
Z = 15.54 cm
Thus the dimensions that minimize the amount of cardboard used is
x = 31 cm , y = 34 cm & Z = 15.54 cm