A farm consists of 240 acres of land.  The farmer plans to p…

A farm consists of 240 acres of land.  The farmer plans to plant corn (x) and oats (y).  Profit per acre in corn is $40 and in oats is $30.  The number of labor hours is 320; where each acre of corn requires 2 hours, and oats require 1 hour per acre.  Determine the number of acres of corn and of oats that should be planted to maximize profit. Graph the feasible solution and find the corner points.  1.  How many corner points exist for the feasible solution?  2.  One corner point does NOT lie on the x or y axis, what is the x-value of this corner point?  3.  What is the maximum profit?    Do NOT put a comma nor $ sign in your answer for the thousands mark (i.e., use 2000 and NOT $2,000.00).  You may round your answer to the nearest dollar. (When you finish, make sure to show your chart and work to the camera for few seconds, submit your work after you finish the exam.  Answers without chart will not be counted)

Solve the system of equations using any method: x  – 2 y + …

Solve the system of equations using any method: x  – 2 y +  z = 1 2 x  –  y + 2 z = 2 4 x  +  y + 3 z = 2 What is the value of  z in the solution? (When you finish, make sure to show your work to the camera for few seconds, submit your work after you finish the exam)

If you flip a fair coin 100 times, what is the probability o…

If you flip a fair coin 100 times, what is the probability of noting 50 or fewer heads? Insert your answer in decimal format correct to at least 3 significant figures, and not in percent format (i.e., 46.5% should be entered as 0.465). (When you finish, make sure to show your work to the camera for few seconds, submit your work after you finish the exam)

**********************Problems beyond this point may be elig…

**********************Problems beyond this point may be eligible for partial credit. Show all work on paper for problems below this point. You must show your work to have an opportunity at full or partial credit. Clearly label each problem. After the exam, upload your work to the canvas assignment titled “Final Exam Hand-written work” within 10 minutes of completing the exam. ***************************