Afarmer in iowa owns 450 acres of land. he is going to plant each acre with wheat or corn. each acre planted with wheat yields $2000 profit, requires three workers, and requires two tons of fertilizer. each acre planted with corn yields $3000 profit, requires two workers, and requires four tons of fertilizer. there are currently 1000 workers and 1200 tons of fertilizer availab

each 200 acres.

Step-by-step explanation:

Here we are given 2000 profit for wheat per acre and 3000 profit per acre for corn.

Hence objective function to maximize is

Where W is wheat cultivated and C, corn cultivated

Constraints are workers and acres

Total workers required = 3W+2C and total fertilizers = 2w+4c

We solve and get corner points as

(W,C) = (333,0) (600,0) (0,500) (0,300)

Intersecting point is

by solving we get

2w = 400 or w =200 and c = 200

Thus feasible points are

(200,200) Or (333,0) or (0,300)

Z for I point = 1000000

Z for II point = 666000

Z for III point =900000

Maximum is when wheat and corn are 200 acres each planted.

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: