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/nb)bmn/cc)mn/bcd)bc/mnCorrect answer is option 'A'. Can you explain this answer?

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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?

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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.

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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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