Question

The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day.

Let's say x toys were produced on a day, what is the total cost of production in terms of x?

A. $x^2 - 55x$ B. $(x - 55)(x + 55)$ C. $x^2 + 55x$ D. $55x - x^2$

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Answer

The correct option is D, which is:

$$ 55x - x^2 $$

To explain further:

  1. Let the number of toys produced on that day be denoted by ( x ).

  2. The cost of production for each toy (in rupees) on that day is given by ( 55 - x ).

  3. Therefore, the total cost of production (in rupees) for ( x ) toys is calculated as:

    $$ x \times (55 - x) = 55x - x^2 $$

Thus, the total production cost in terms of ( x ) is ( 55x - x^2 ), matching option D.


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