Answer:
To maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.
Step-by-step explanation:
Given that a farmer plans to grow wheat and corn, and each acre of wheat requires 4 hours of labor and $ 20 of capital, and each acre of corn requires 16 hours of labor and $ 40 of capital, and the farmer has at most 800 hours of labor and $ 2400 of capital available, if the profit from an acre of wheat is $ 80 and from an acre of corn is $ 100, to determine how many acres of each crop should she plant to maximize her profit the following calculation must be performed:
Knowing that each acre of wheat has a 50% lower capital cost, 75% lower hours and a 20% lower profit, in principle this would be the crop to be planted to obtain better yields.
2400/20 = 120
120 x 4 = 480
120 x 80 = 9,600
Thus, to maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.
Turn the improper fraction 2(3/4) into a mixed fraction by multiplying the coefficient or outside number "2" by the denominator "4" and then adding that result with the numerator "3":
2*4 = 8
8 + 3 = 11
Leave the denominator fixed and put you previous result as the numerator; your new fraction is 11/4
Now multiply this with 4/5:
11/4 * 4/5 = 44/20 = 22/10 = 11/5 (simplified result)
Now convert this simplified mixed fraction back into an improper fraction:
You divide the denominator "5" into the numerator "11" and put the most amount of times it goes into it out front as the coefficient;
We get that 5 goes into 11 a maximum number of times which is 2.
Then subtract the numerator "11" from "10" (5 *2) and we get 1.
Our answer is 2(1/5)
Step-by-step explanation:
Real numbers include:
Rational numbers include
Fractions, Integers
Integers include
Negative Integers, Whole numbers
Whole numbers include
Zero, Natural number
Irrational numbers
0.757575 is already a decimal.
