Answer:
V = 23.85 ft³
Step-by-step explanation:
The dimension of the square base = x ft by x ft
Height of box = y
Volume of the box, 
Cost of top = $4 * 
Cost of the bottom = $9 *
Cost of the sides = $3 * 4xy
Total cost = 4x² + 9x² + 12xy
Total cost = 13x² + 12xy
Total cost = $193
193 = 13x² + 12xy
But volume, V = x²y
V = 
V = 
...................(1)
At maximum value, V' = 0
0 = 
x = 2.23
Put the value of x into (1)
V = 23.85 ft³
(1) C and (2) D
(1)
distribute the left side of the equation
2h - 16 - h = h - 16 ( simplify left side )
h - 16 = h - 16
Since both sides are equal, any value of h will make the equation true.
Hence there are infinitely many solutions to the equation → C
(2)
3 + 6z = 13 + 6z ( subtract 6z from both sides )
3 = 13 ← not possible
Hence there are no solutions to the equation → D
The partial products are 4x80 and that's all because in the ones it has no actual digit
