A certain business produced x rakes each month from November through February and shipped x2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months from November through October ?
Total production from November to February (in 4 months ) = 4 x x = 4x rakes.
The amount of shipped rakes is x2
∴Remaining rakes = 4x-x2=8x-x2=7x2
In march, the business paid for the storage of7x2 rakes = 3.5x rakes
In the next month, the business will pay for the storage of 3x rakes as x2 rakes is to be shipped & thus the process will go on.
∴Total storage cost will bc = (3.5x + 3x + 2.5x + 2x + 1.5x + x + 0.5x) = 14x × 0.10 = $1.4x
A rectangular box that is 7 inches long by 4 inches wide by 3 inches deep is carefully packed to th hold the maximum number of blocks that are 1 inch by 1 inch by 2 inches. How many blocks can be packed into the box?
Volume of the rectangular box is = (7 × 4 × 3) cubic inches.
Volume of each block = ( 1 × 1 × 2 ) cubic inches.
∴Maximum numbers of block that can be packed into the rectangular box is = 7×4×31×1×2 = 42.