A town has a merchant, a baker, and a farmer. To produce $1 worth of output, the merchant requires $0.15 worth of baked goods and $0.35 worth of the farmer's products. To produce $1 worth of output, the baker requires $0.45 worth of the merchant's goods, $0.20 worth of his own goods, and $0.35 worth of the farmer's goods. To produce $1 worth of output, the farmer requires $0.25 worth of the merchant's goods, $0.25 worth of baked goods, and $0.30 worth of his own products. How much should the merchant, baker, and farmer produce to meet a demand for $18 comma 000 worth of output from the merchant, $11 comma 000 worth of output from the baker, and $12 comma 000 worth of output from the farmer?

Merchant: $7950

Baker: $7900

Farmer: $13750

Step-by-step explanation:

To produce $18000 worth of output from merchant we would need

- $18000*0.15 = $2700 worth of product from the baker

- $18000*0.35 = $6300 worth of product form the farmer

To produce $11000 worth of output from the baker we would need

- $11000*0.45 = $4950 worth of product from the merchant

- $11000*0.2 = $2200 worth of product from himself

- $11000*0.35 = $3850 worth of product form the farmer

To produce $12000 worth of output from the farmer we would need

- $12000*0.25 = $3000 worth of product from the merchant

- $12000*0.25 = $3000 worth of product from the baker

- $12000*0.3 = $3600 worth of product form the himself

In total:

The merchant would need to produce: $4950 + $3000 = $7950

The baker would need to produce: $2700 + $2200 + $3000 = $7900

The farmer would need to produce: $6300 + $3850 + $3600 = $13750

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584