A farmer has 1200 acres of land and plans 10 plant corn and soybeans. The input cost (cost of seed, fertilizer, herbicide, and insecticide) for 1 acre or each crop is given in the table along with the cost of machinery and labor. The profit for 1 acre of each crop is given in the last column.
Input Cost per Acre | Labor/Machinery Cost per Acre | Profit per Acre | |
---|---|---|---|
Corn | $180 | $80 | $120 |
Soybeans | $120 | $100 | $1000 |
Suppose the farmer has budgeted a maximum of $198,000 for input costs and a maximum of $110,000 for labor and machinery.
a. Determine the number of acres of each crop that the farmer should plant to maximize profit. (Assume that all crops will be sold.)
b. What is the maximum profit?
c. If the profit per acre were reversed between the two crops (that is, $100 per acre for corn and $120 per acre for soybeans), how many acres of each crop should be planted to maximize profit?

Want to see the full answer?
Check out a sample textbook solution
Chapter 5 Solutions
COLLEGE ALGEBRA CUSTOM -ALEKS ACCESS
- Solve questions by Course Name (Ordinary Differential Equations II 2)arrow_forwardplease Solve questions by Course Name( Ordinary Differential Equations II 2)arrow_forwardInThe Northern Lights are bright flashes of colored light between 50 and 200 miles above Earth. Suppose a flash occurs 150 miles above Earth. What is the measure of arc BD, the portion of Earth from which the flash is visible? (Earth’s radius is approximately 4000 miles.)arrow_forward
- e). n! (n - 1)!arrow_forwardSuppose you flip a fair two-sided coin four times and record the result. a). List the sample space of this experiment. That is, list all possible outcomes that could occur when flipping a fair two-sided coin four total times. Assume the two sides of the coin are Heads (H) and Tails (T).arrow_forwarde). n! (n - 1)!arrow_forward
- Evaluate the following expression and show your work to support your calculations. a). 6! b). 4! 3!0! 7! c). 5!2! d). 5!2! e). n! (n - 1)!arrow_forwardAmy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement. Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater. The sample space of possible outcomes is listed below. A represents an ace, and K represents a king. Who is correct?arrow_forwardConsider the exponential function f(x) = 12x. Complete the sentences about the key features of the graph. The domain is all real numbers. The range is y> 0. The equation of the asymptote is y = 0 The y-intercept is 1arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell


