a business owner is monitoring the production cost of making laptop computers. it costs $5,000 to start the…

a business owner is monitoring the production cost of making laptop computers. it costs $5,000 to start the business. the production cost for 10 computers totals $6,000, and the production cost for computers totals $5,000. which type of function would best model the data, and why?\nquadratic, because the production cost decreases to a minimum of $5,000 and then increases\nquadratic, because the production cost increases to a maximum of $5,000 and then decreases\nquadratic, because the production cost decreases to a minimum of $6,000 and then increases\nquadratic, because the production cost increases to a maximum of $6,000 and then decreases\nquadratic, because the production cost increases to a maximum of $6,000 and then decreases

a business owner is monitoring the production cost of making laptop computers. it costs $5,000 to start the business. the production cost for 10 computers totals $6,000, and the production cost for computers totals $5,000. which type of function would best model the data, and why?\nquadratic, because the production cost decreases to a minimum of $5,000 and then increases\nquadratic, because the production cost increases to a maximum of $5,000 and then decreases\nquadratic, because the production cost decreases to a minimum of $6,000 and then increases\nquadratic, because the production cost increases to a maximum of $6,000 and then decreases\nquadratic, because the production cost increases to a maximum of $6,000 and then decreases

Answer

Explanation:

Step1: Analyze production - cost situation

The business has a start - up cost of $5000. As production increases from 0 to 10 computers, the cost goes from $5000 (start - up) to $6000. When more computers are produced (not specified how many more), the cost goes down to $5000 again. A quadratic function (y = ax^{2}+bx + c) has a parabolic shape. If (a>0), it has a minimum value; if (a < 0), it has a maximum value. In a production - cost scenario, it is common to have a minimum cost point due to economies of scale and then an increase as resources become strained or inefficiencies occur. Here, the cost first increases from the start - up cost of $5000 to $6000 and then decreases back to $5000, which is consistent with a quadratic function with (a>0) having a minimum value.

Answer:

Quadratic, because the production cost increases to a maximum of $6,000 and then decreases