If Farmer Sam MacDonald can produce 200 pounds of cabbages and 0 pounds of potatoes or 0 pounds of cabbages and 100 pounds of potatoes and faces a linear production possibilities curve for his farm, the opportunity cost of producing an additional pound of potatoes is _ pound(s) of cabbage.

2

Step-by-step explanation:

Opportunity cost is the benefit given up for choosing something else. Since the relationship is linear, 200 pounds of cabbage is to 100 pounds of potatoes  the the relationship is 2 : to 1 that is 2 pounds of cabbage to 1 pound of potatoes. The opportunity cost of producing additional pound of potatoes is 2 pounds of cabbage.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

there still no table