a landscape archetiect is hired to build a garden which is of the shape of a right traingle. suppose the architech wants to use a brick wall on the side of AC costing $9/ft and a metal fence on the side costing $3/ft suppose the architect has $1620 budget. what is the maxmum area the architect can build with he budget

Maximum Ares architect can build is 36,450

Explanation:

Suppose

The Perpendicular of the triangle = l

The Base of the triangle = b

The hypotenuse of the triangle = h

The hypotenuse of the triangle can be calculated as follow

h =

Total Budget = $1,620

As the architect does not want to build anything on the hypotenuse of the triangle area.

So as per given condition

( $9 x l ) + ( $3 x b ) = $1,620

$3 ( 3l + b ) = $1,620

3l + b = $1,620 / $3

3l + b = 540

b = 540 - 3l ...........(1)

Area = 1/2 x l x b

using (1) we will have

Area = 1/2 x l x ($540 - 3l)

Now differentiating w.r.t l

=

0 =  

0 = 540 - 6l

6l = 540

l = 540/6

l = 90 ft

Placing value of l in (1)

b = 540 - 3(90)

b = 540 - 270

b = 270

So, Maximum area will be calculated as follow

Maximum Ares = x 270 x 270

Maximum Ares = 36,450

the correct answer is economics is a game without winners or losers.

unlike sports or games economic is a game without losers or winner rather it is a game where everyone wins. parties of business doing businesses exchange money with each other and hence exchange is done on the basis of goods. one party takes the goods and other sales it so there is winner on both sides. each party values more highly the good it gets than the good it gives up. both sides exchange only because both intend to increase their value. so there is no concept of lose or win.