Question

Choe's Cafo bakes crotssants that it selkc to focal rostaurants and grocery storef. The average costs to bake the crolscarts are $075 for 2700 and $0.70 for 5,400 . Pequired: If the total coct function for crokssants is linear, what will be the average cost to bake 4,600 ? (Bo not round intermediate calculations Round your final answer to 4 dedimal places.)

Answer 1

To find the average cost for baking 4,600 croissants with a linear cost function, we use two given points to calculate the line's slope, derive the linear equation, and then find the cost for 4,600 croissants.

Step-by-step explanation:

The question involves calculating the average cost to bake a certain number of croissants when the cost function is linear. Given that the average costs for 2,700 croissants is $0.75 each and for 5,400 croissants it's $0.70 each, we can determine the cost per croissant for any quantity produced if the total cost function is indeed linear. We can use the two points (2,700, 0.75) and (5,400, 0.70) to find the slope of the line representing the cost function, and then apply it to find the average cost for 4,600 croissants.

To calculate the slope (m), we use the formula m = (change in cost) / (change in quantity) = (0.70 - 0.75) / (5,400 - 2,700). Once we have the slope, we can use the point-slope form of a linear equation to determine the equation of the line. Finally, we'll substitute 4,600 for the quantity (q) to find the average costs for that number of croissants.