Answer:
a. 90,000 classic lamps; 0 fancy lamps
Explanation:
To determine the optimise total contribution, we need to calculate the contribution margin per hour of machine time for both the lamps. Then the result of whichever is higher would be produced.
Moreover, as there is no limitation on how many lamps can be produced, therefore, we would assume that we can make as many as we want up to the limit of machine-hours available. The calculation is done as follows:
Contribution margin per hour of machine time for classic lamp = Contribution/machine hours to build one classic lamp
Contribution margin per hour of machine time for classic lamp = 13 / 0.2
Contribution margin per hour of machine time for classic lamp = 65
Contribution margin per hour of machine time for fancy lamp = Contribution/machine hours to build one fancy lamp
Contribution margin per hour of machine time for fancy lamp = 21 / 0.5
Contribution margin per hour of machine time for fancy lamp = 42
Since classic lamp has the higher contribution margin per hour. Therefore, all the machine hours would be used to make classic lamps.
= 18,000 / 0.2
= 90,000
Hence, 90,000 classic lamps would be sold while no fancy lamps will be sold to optimise total contribution (which would be 65 x 18,000 = $1,170,000).
