13 Feedco produces two types of cattle feed, bothconsisting totally of wheat and alfalfa. Feed 1 must containat least 80% wheat, and feed 2 must contain at least 60%alfalfa. Feed 1 sells for $1.50/lb, and feed 2 sells for $1.30/lb.Feedco can purchase up to 1,000 lb of wheat at 50¢/lb andup to 800 lb of alfalfa at 40¢/lb. Demand for each type offeed is unlimited. Formulate an LP to maximize Feedco’sprofit.14 Feedco (see Problem 13) has decided to give itscustomer (assume it has only one customer) a quantitydiscount. If the customer purchases more than 300 lb offeed 1, each pound over the first 300 lb will sell for only$1.25/lb. Similarly, if the customer purchases more than 300pounds of feed 2, each pound over the first 300 lb will sellfor $1.00/lb. Modify the LP of Problem 13 to account forthe presence of quantity discounts. (Hint: Define variablesfor the feed sold at each price.)
13 Feedco produces two types of cattle feed, both
consisting totally of wheat and alfalfa. Feed 1 must contain
at least 80% wheat, and feed 2 must contain at least 60%
alfalfa. Feed 1 sells for $1.50/lb, and feed 2 sells for $1.30/lb.
Feedco can purchase up to 1,000 lb of wheat at 50¢/lb and
up to 800 lb of alfalfa at 40¢/lb. Demand for each type of
feed is unlimited. Formulate an LP to maximize Feedco’s
profit.
14 Feedco (see Problem 13) has decided to give its
customer (assume it has only one customer) a quantity
discount. If the customer purchases more than 300 lb of
feed 1, each pound over the first 300 lb will sell for only
$1.25/lb. Similarly, if the customer purchases more than 300
pounds of feed 2, each pound over the first 300 lb will sell
for $1.00/lb. Modify the LP of Problem 13 to account for
the presence of quantity discounts. (Hint: Define variables
for the feed sold at each price.)
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