the cost of a small business is given by the expression 1000 15x, where x is the number of units produced. the business will be profitable whenever its profit y exceeds its cost. if the profit region is shaded in blue, which of the following graphs corresponds to the given situation?

Respuesta :

The profit exceeds the cost as y > 1000 + 15x. So, option 1 is correct.

Gaining anything is known as profit. When the Selling price ( SP ) of the product is more than the cost price ( CP ) of the product, we gain profit. Opposite to the profit is loss i.e. losing anything is called loss. When the Selling price ( SP ) of the product is less than the cost price ( CP ) of the product, we get a loss.

Profit can be calculated by the formula,

Profit   =   Selling Price - Cost price

      P   =   SP - CP

Loss can be calculated by the formula,

Loss   =   Cost price - Selling price

    L    =   CP - SP

As per the question,

  • x  =    number of units produced
  • expression   =   1000 + 15x

⇒  When y > 1000 + 15x, then profit exceeds cost:

  • x   =   50  and  y   =   1750
  • x   =   100  and  y   =   2500
  • x   =   150  and  y   =   3250
  • x   =   200  and  y   =   4000
  • x   =   0  and  y   =   1000

Therefore, the graph in the 1st option is correct as the profit exceeds the cost.

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