Price ceilings are often established in order to farmers. create excess supply. keep products affordable for consumers. keep products affordable for suppliers.

I think the correct answer from the choices listed above is the third option. Price ceilings are often established in order to keep products affordable for consumers. A price ceiling is a government-imposed price control or limit on how high a price is charged for a product. 

Explanation:

From the given information:

Assuming we represent x to be the tablets sent from Brooklyn to Manhattan

Thus, (500 - x) to be the tablets sent from Baldwin to Manhattan

Also, suppose we represent y to be the tablets sent from Brooklyn to Amityville

It implies that (400 - x) to be the tablets sent from Baldwin to Amityville

∴

x ≥ 0 ; y ≥ 0  

⇒   500 - x ≥ 0  & 400 - y ≥ 0

The Shipping cost Z = 1(x) + 2(500-x) + 2(y) + 4(400-y)

Z = x + 1000 - 2x + 2y + 1600 - 4y

Z = x -2y + 2600

To minimize the shipping cost:

Thus, by replacing the coordinate values (x,y) into Z, we have:

Point    Coordinates(x,y)    Value of Z (shipping cost)

0             (0,0)                             0

A             (0,400)                     1800

B             (500,400)                 1300

C             (500,0)                      2100

Hence, the minimum cost is 1300.

x = 500 units   and  y = 400 units