Functional response: The amount C of food consumed in a day by a sheep is a function of the amount V of vegetation available, and a model is Here C is measured in pounds and V in pounds per acre. This...

Functional response: The amount C of food consumed in a day by a sheep is a function of the amount V of vegetation available, and a model is

Here C is measured in pounds and V in pounds per acre. This relationship is called the functional response.

a. Make a graph of C versus V. Include vegetation levels up to 1000 pounds per acre.

b. Calculate C(300) and explain in practical terms what your answer means.

c. Is the graph concave up or concave down? Explain in practical terms what this means.

d. From the graph it should be apparent that there is a limit to the amount of food consumed as more and more vegetation is available. Find this limiting value of C.