Sean decides to start a small business creating and selling outdoor yard games. It will cost Sean $50 to make each game as well as an initial cost

of $300 to purchase the needed equipment and supplies. He plans to sell each game for $85,

The system of equations below models the cost and revenue for Sean's outdoor yard games where x represents the number of games and y

represents the amount, in dollars.

y = 50x + 300

y = 85

Respuesta :

Answer:

9

Step-by-step explanation:

no explanation

The break even point of Sean's business is (60/7, 5100/7)

Missing part of the question

where x represents the number of games and y represents the amount, in dollars.

y = 50x + 300

y = 85x

Calculate the break even point of Sean's business

How to determine the break even point?

The functions are given as:

  • Cost: y = 50x + 300
  • Revenue: y = 85x

At the break even point;

Cost = Revenue

So, we have:

85x = 50x + 300

Subtract 50x from both sides

35x = 300

Divide both sides by 35

x = 60/7

Substitute x = 60/7 in y = 85x

y = 85 * 60/7

Evaluate

y = 5100/7

Hence, the break even point is (60/7, 5100/7)

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