Production data for the number of hours required per unit for making the Droid and iPhone versions of cell phone components by Bizzer, a high-tech manufacturing firm, is given below.Suppose the plant decides to make the maximum number of iPhone components possible and reach the rest of its capacity by making Droid phones.How many of each type of phone will it make? Monthly Product

A)375 iPhone units and 625 Droid units
B)500 iPhone units and 500 Droid units
C)1000 iPhone units and 1000 Droid units
D)625 iPhone units and 375 Droid units

Question

Production data for the number of hours required per unit for making the Droid and iPhone versions of cell phone components by Bizzer, a high-tech manufacturing firm, is given below.Suppose the plant decides to make the maximum number of iPhone components possible and reach the rest of its capacity by making Droid phones.How many of each type of phone will it make? Monthly Product

A)375 iPhone units and 625 Droid units 
B)500 iPhone units and 500 Droid units 
C)1000 iPhone units and 1000 Droid units 
D)625 iPhone units and 375 Droid units

Quizplus · Accepted Answer

First, calculate the production capacity for iPhone components using the available monthly production hours:
(2000 hours/month) / (2 hours/iPhone unit) = 1000 iPhone units/month
This means that the plant can produce a maximum of 1000 iPhone units per month. 
Next, calculate the production capacity for Droid components using the remaining available production hours:
(2000 hours/month) - (1000 iPhone units/month x 2 hours/iPhone unit) = 0 hours/month remaining
Since there are no more production hours available, it is not possible to produce any Droid components. 
Therefore, the plant will make 625 iPhone units and 0 Droid units, which is the maximum number of iPhone components that can be produced with the available production hours.

Production Data for the Number of Hours Required Per Unit