A winery has fixed operating costs of $10,000. It incurs an additonal cost of $3 for every bottle of wine it produces. If the winery produces x bottles of wine, then it incurs a total cost of

10000 + 3x

What is the total cost if the winery produces 9,500 bottles of wine?

Question

A winery has fixed operating costs of $10,000. It incurs an additonal cost of $3 for every bottle of wine it produces. If the winery produces x bottles of wine, then it incurs a total cost of

10000 + 3x

What is the total cost if the winery produces 9,500 bottles of wine?

BlackTom AI · Accepted Answer

First, restate the given information in your own words to set up the problem: fixed operating costs are 10,000 and variable cost is 3 for every bottle produced. The total cost function is 10,000 + 3x, where x is the number of bottles.

Next, identify the value of x for this scenario: x = 9,500 bottles.

Compute the variable cost part by multiplying the per-bottle cost by the number of bottles: 3 × 9,500 = 28,500.

Then add the fixed costs to the variable costs to get the total cost: 10,000 + 28,500 = 38,500.

So, when 9,500 bottles are produced, the total cost can be found by substituting into the total cost formula and performing the arithmetic as shown: total cost = 10,000 + 3 × 9,500 = 10,000 + 28,500 = 38,500.

4448_UAC_1064 Quiz 1

A winery has fixed operating costs of $10,000. It incurs an additonal cost of $3 for every bottle of wine it produces. If the winery produces x bottles of wine, then it incurs a total cost of 10000 + 3x What is the total cost if the winery produces 9,500 bottles of wine?

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