A certain cost function for animal feed is determined to be:C=0.18x+0.03y where

Question

A certain cost function for animal feed is determined to be:C=0.18x+0.03y where x is the weight of grain and y is the weight ofsilage in the feed (in pounds). It has further been determined thatthis cost function is subject to the following protein, caloris andhealth constraints: a) graph the feasibility region b)Determine the mininum cost and the corresponding weights ofgrain and silage c)Determine the maximum cost and the corresponding weights ofgrain and silage

Explanation / Answer

Can't quite draw the diagram here for some reason, but here's whatyou do: Each of the equations defines a line on an xy-axis. 2,400x +600y >= 18,000. The slope of the line when graphing can be solved for usingy=mx +b. Subtracting 2,400x from both sides, we get 600y= -2,400x+18,000. Dividing both sides by 600, we get y = -4x +30 Slope of the line is -4. Setting y=0, we get 4x=30, so thex-intercept is 7.5. Setting x=0, we get y=30, so they-intercept is 30. The region shaded is above the line since the line defines thelower boundary of a region where the minimum is 18,000; everythingabove that gives you >18,000. 20x+2y

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.