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If a factory can manufacture b computer screens in n days at a cost of c dollars per screen, then which of the following represents the total cost, in dollars, of the computer screens that can be manufactured, at that rate, in m days?
- a)bcm/n
- b)bmn/c
- c)mn/bc
- d)bc/mn
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If a factory can manufacture b computer screens in n days at a cost of...
Total Cost of Manufacturing Computer Screens
To find the total cost of manufacturing computer screens in m days, we need to determine the number of screens that can be manufactured in m days and then multiply it by the cost per screen.
Let's break down the given information:
- The factory can manufacture b computer screens in n days.
- The cost per screen is c dollars.
Number of Screens Manufactured in m Days
We can set up a proportion to find the number of screens that can be manufactured in m days:
b screens / n days = x screens / m days
Cross-multiplying, we have:
bx = nm
Solving for x, we get:
x = nm / b
Cost of Manufacturing x Screens
Now that we know the number of screens that can be manufactured in m days, we can calculate the cost of manufacturing these screens by multiplying the number of screens by the cost per screen:
Cost = x screens * c dollars
Substituting the value of x, we have:
Cost = (nm / b) * c
Simplifying the expression, we get:
Cost = nmc / b
Therefore, the total cost, in dollars, of the computer screens that can be manufactured in m days at the given rate is nmc / b.
So, the correct answer is option A: bcm/n.
To find the total cost of manufacturing computer screens in m days, we need to determine the number of screens that can be manufactured in m days and then multiply it by the cost per screen.
Let's break down the given information:
- The factory can manufacture b computer screens in n days.
- The cost per screen is c dollars.
Number of Screens Manufactured in m Days
We can set up a proportion to find the number of screens that can be manufactured in m days:
b screens / n days = x screens / m days
Cross-multiplying, we have:
bx = nm
Solving for x, we get:
x = nm / b
Cost of Manufacturing x Screens
Now that we know the number of screens that can be manufactured in m days, we can calculate the cost of manufacturing these screens by multiplying the number of screens by the cost per screen:
Cost = x screens * c dollars
Substituting the value of x, we have:
Cost = (nm / b) * c
Simplifying the expression, we get:
Cost = nmc / b
Therefore, the total cost, in dollars, of the computer screens that can be manufactured in m days at the given rate is nmc / b.
So, the correct answer is option A: bcm/n.
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If a factory can manufacture b computer screens in n days at a cost of...
We should regard this as a “conversion” prob- lem from m days into a corresponding number of dollars.
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