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olga_2 [115]
3 years ago
11

There are six printers at "Today's news" newspaper, each printing at the same constant rate. Working together, the six printers

can complete printing tomorrow's newspaper within 12 hours. If the owner wishes to reduce the printing time to 8 hours, how many additional printers, each with the same constant rate, will he need to purchase?
Business
2 answers:
castortr0y [4]3 years ago
5 0

Answer: 3

Explanation:

Printers are said to be working at a constant rate with 6 printers working for 12 hours. This means in other to achieve a similar output with 1 printer;

12 hours × 6 = 72 hours

Total hours required to complete printing = 72 hours

Assuming adding more printers working at constant rate in other to reduce completion hours to 8

Total completion hours ÷ number of printers = 8 hours

72 ÷ number of printers = 8

Nunber of printers = 9

Therefore, number of printers that must be added = 9 - 6 = 3

MrRissso [65]3 years ago
3 0

Answer:

Explanation:

Given:

Today:

Number of printers = 6

Work duration = 12 hours

Tomorrow:

Work duration = 8 hours

At the same rate of printing,

If 6 printer were used to print newspapers for 12 hours.

Only 1 printer will work for 12 × 6 hours at the same rate

But is the printers were 8, (12 × 6)/8

= 9 printers.

Initial number of printers = 6 printers

Additional printers to be purchased = 9 - 6

= 3 printers

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Q        Fixed       Variable    Total    Marginal    Aver.     Aver.     Aver.

<u>           Costs        Costs         Cost    Cost           FC         VC         TC      </u>

0          100             0              100         -               -             -             -

1           100           50               150       150           100         50         150

2          100           70               170         20            50         35          85

3          100           90               190        20           33.33      30        63.33

4          100          140               240       50            25          35          60

5          100         200               300       60            20          40          60

6          100         360              460      160           16.67       60        76.67

The firm's profit in this case is <u>-$360</u>.

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Accounting profit is maximized at 4 cases since marginal cost ($50) = sales price ($50). At this point the total profit is -$40.

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