A Feedlot Is Trying to Decide on the Lowest Cost

question 49

Short Answer

A feedlot is trying to decide on the lowest cost mix that will still provide adequate nutrition for its cattle. Suppose that the numbers in the chart represent the number of grams of ingredient per 100 grams of feed and that the cost of Feed X is $5/100grams, Feed Y is $3/100grams, and Feed X is $8/100 grams. Each cow will need 50 grams of A per day, 20 grams of B, 30 grams of C, and 10 grams of D. If the feedlot can get no more than 200 grams per day per cow of any of the feed types determine the constraints governing the problem.
$$\begin{array} { | l | l | l | l | } \hline \text { Ingredient } & \text { X } & \text { Y } & Z \\\hline \mathrm { A } & 10 & 15 & 5 \\\hline \mathrm { B } & 30 & 10 & 20 \\\hline \mathrm { C } & 40 & 0 & 20 \\\hline \mathrm { D } & 0 & 20 & 30 \\\hline\end{array}$$

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Definitions:

Electrons

Subatomic particles with a negative charge that circle around an atom's nucleus.

Dehydration

The loss or removal of water from something, commonly referring to the state in which an organism's body loses more fluids than it takes in.

Allosteric Regulation

Control of an enzyme’s activity by a regulatory molecule that binds outside the active site.

Induced Fit

Induced fit is a model that describes how enzymes change shape upon substrate binding, enhancing their ability to perform catalytic activity.