Answer:
the optimal dimensions of the rectangle in order to minimize cost are
19.1 ft x 47.74 ft
Step-by-step explanation:
Assuming that the area is rectangular shaped, then
Cost = cost of the pine board fencing * length of pine board fencing + cost of galvanized steel fencing * length of galvanized steel fencing
C = a*x + b*y
that is constrained by the area
Area= A= x*y → y= A/x
replacing in C
C = a*x + b* A/x
the minimum cost is found when the derivative of the cost with respect to the length is 0 , then
dC/dx = a - b*A/x² = 0 → x = √[b/a*A]
replacing values
x = √[b/a*A] = √[($2/ft/$5/ft)*912 ft²] = 19.1 ft
then for y
y= A/x = 912 ft²/19.1 ft = 47.74 ft
then the optimal dimensions of the rectangle in order to minimize cost are
19.1 ft x 47.74 ft
No you can’t because a measuring tape at a hardware store is either $5 or $10
8 and 20. 20 plus 8 equals 28. 20 minus 8 equals 12
(36+90)+C=180
126+C=180
C=180-126
=54
Answer=54
Answer:
- 5·$3.50 +4d = $163.50
- d = $(163.50 -5·3.50)/4 = $36.50
Step-by-step explanation:
The total purchase amount is the sum of the products of the cost of an item times the number of that item. For 5 items costing $3.50 each and 4 items costing "d" each, the total purchase amount is ...
5·$3.50 +4·d = $163.50
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This is solved by undoing what is done to the variable. The variable is multiplied by 4 and a quantity added to that product. We undo these operations in reverse order.
First we subtract the added quantity:
4d = $163.50 -5·3.50 = $146.00
Then we undo the multiplication by dividing by the coefficient of d:
4d/4 = $146.0/4
d = $36.50
The cost of one pair of shoes is $36.50.