The Knockhill Corporation produces two grades of livestock feed. The
grades — nutritious and regular — are produced by refining a blend of
two types of raw powder feed — types A and B. Each of them differs not
only in cost per barrel, but also in composition. The following table
indicates the percentage of crucial ingredients of each of the powder
feeds and the cost per barrel for each:
Types Honey (%) Corn starch (%) Cost per barrel
A 40 55 $35
B 55 30 $40
Weekly demand for the nutritious grade of feed is at least 2,600 barrels,
and demand for the regular grade is at least 3,400 barrels. At least 45%
of each barrel of the nutritious grade must be honey. At most 50% of
each barrel of regular grade should contain corn starch. The product
manager of Knockhill Corporation needs to decide how many barrels of
each type of raw powder feed to buy each week for blending to satisfy
demand at the minimum cost. Assume that all barrels aforementioned
have the same volume. Formulate the linear programming model
algebraically for the above problem. (There is no need to solve the
model.)
PLZ HELP!!!