Energy Savers, Inc., produces heaters of types S and L. The wholesale price is $40 per heater for S and $88 for L. Two time constraints result from the use of two machines M₁ and M₂. On M₁ one needs 2 min for an S heater and 8 min for an L heater. On M₂ one needs 5 min for an S heater and 2 min for an L heater. Determine production figures.x₂ and x₂ for S and L, respectively (number of heaters produced per hour), so that the hourly revenue z=f(x) = 40x₁ +88x₂ is maximum.

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Production Plan
Energy Savers, Inc., produces heaters of types S and L. The wholesale price is $40 per heater for S and $88 for
L. Two time constraints result from the use of two machines M₁ and M₂. On M₁ one needs 2 min for an S heater
and 8 min for an L heater. On M₂ one needs 5 min for an S heater and 2 min for an L heater. Determine production
figures.x₁ and x₂ for S and L, respectively (number of heaters produced per hour), so that the hourly revenue
z = f(x) = 40x₁ +88x2
is maximum.
Transcribed Image Text:Production Plan Energy Savers, Inc., produces heaters of types S and L. The wholesale price is $40 per heater for S and $88 for L. Two time constraints result from the use of two machines M₁ and M₂. On M₁ one needs 2 min for an S heater and 8 min for an L heater. On M₂ one needs 5 min for an S heater and 2 min for an L heater. Determine production figures.x₁ and x₂ for S and L, respectively (number of heaters produced per hour), so that the hourly revenue z = f(x) = 40x₁ +88x2 is maximum.
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