Arectangular garden of area 408 square feet is to be surrounded on three sides by a brick wall costing $ 12 per foot and on one side by a fence costing $ 5 per foot. find the dimensions of the garden such that the cost of the materials is minimized.

17 and 24

Step-by-step explanation:

24*17=408, and that's the pair of factors that is the closest to each other, meaning that it'll minimize the perimeter and thus minimize the cost.

12*(17+17+24)+5*24=816, minimal cost

sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

step-by-step explanation:

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200