A company can extract silver and gold from a particular site. It receives $8000 per unit...

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A company can extract silver and gold from a particular site.It receives $8000 per unit of silver extracted and $12000 per unitof gold extracted. It has a fixed number of workers and machinesthat can
extract up to 12 units of silver a day or up to 9 units ofgold, or a combination of silver and gold, e.g. 6 units of silverand 4.5 units of gold. It can transport at most 140 tonnes ofsilver and gold combined per day, where each unit of silver weighs10 tonnes and each unit of gold weighs 20 tonnes.

You will construct this as a linear optimisation problem, andfind the maximum profit the company can make.
(a) Write down the variables and the profit function, andexpress the constraints on the variables.
(b) Sketch the feasible region and write down itsvertices.
(c) Solve the optimisation problem to find the maximumprofit.

Answer & Explanation Solved by verified expert

3.6 Ratings (493 Votes)

To formulate an LPP first we ahve to determine the decisionvariablesIn this case the decision variables are number of units ofsilver and golsLet the number of units of silver The number of units of gold Profit on 1 unit silver Profit on units of silver Profit one 1 unit of gold See Answer

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