Chancellor Manufacturing makes two pumps for use in household reef aquariums. The Standard pump (Model A)...

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Chancellor Manufacturing makes two pumps for use in household reef aquariums. The Standard pump (Model A) requires 4.5 lbs of stainless steel while the Deluxe lightweight pump (Model B) 3.0 lbs of stainless steel. There are 63 lbs. of stainless steel available during this production period. The combined production of both pumps must be at least 12 pumps. There are orders for at least 6 of the lightweight Model B. Lastly, management has decided that no more than 15 Model B pumps be produced. The cost to produce one Standard pump is $150 and to produce one Deluxe pump is $210. (a) What is the optimal solution? Write as an ordered pair. Use 1 decimal only if needed. (b) What is the value of the objective function at the optimal solution? Use 2 decimal places. $ (c) Which constraints are binding? Use constraint numbers. (d) What is the Slack/Surplus for the non-binding constraint(s). Interpret it: ie. 50 hours of finishing time, slack. Chancellor Manufacturing makes two pumps for use in household reef aquariums. The Standard pump (Model A) requires 4.5 lbs of stainless steel while the Deluxe lightweight pump (Model B) 3.0 lbs of stainless steel. There are 63 lbs. of stainless steel available during this production period. The combined production of both pumps must be at least 12 pumps. There are orders for at least 6 of the lightweight Model B. Lastly, management has decided that no more than 15 Model B pumps be produced. The cost to produce one Standard pump is $150 and to produce one Deluxe pump is $210. (a) What is the optimal solution? Write as an ordered pair. Use 1 decimal only if needed. (b) What is the value of the objective function at the optimal solution? Use 2 decimal places. $ (c) Which constraints are binding? Use constraint numbers. (d) What is the Slack/Surplus for the non-binding constraint(s). Interpret it: ie. 50 hours of finishing time, slack.

Answer rating: 100% (QA)

a Let x be the number of Standard pumps Model A to produce and y be the number of Deluxe pumps Mod... View the full answer