Ace manufacturing has determined that the cost of labor for producing x transmissions is 0.3x2+400x+550 dollars, while the cost of materials is 0.1x2+50x+800 dollars.
Find the total cost of producing x=500 transmissions.
Just substitute 500 for x and solve.
(.3x^2 + 400x + 550) + (.1x^2 + 50x + 800) = ?
x^2 = x squared online
To find the total cost of producing 500 transmissions, we need to calculate the sum of the cost of labor and the cost of materials.
Given that the cost of labor for producing x transmissions is given by the equation 0.3x^2 + 400x + 550 dollars, we can substitute x with 500 to find the cost of labor for producing 500 transmissions.
Cost of labor for 500 transmissions = 0.3(500)^2 + 400(500) + 550
= 0.3(250,000) + 200,000 + 550
= 75,000 + 200,000 + 550
= 275,550 dollars
Similarly, the cost of materials for producing x transmissions is given by the equation 0.1x^2 + 50x + 800 dollars. Substituting x with 500, we can find the cost of materials for producing 500 transmissions.
Cost of materials for 500 transmissions = 0.1(500)^2 + 50(500) + 800
= 0.1(250,000) + 25,000 + 800
= 25,000 + 25,000 + 800
= 50,800 dollars
Now, to find the total cost of producing 500 transmissions, we add the cost of labor and the cost of materials.
Total cost of producing 500 transmissions = Cost of labor for 500 transmissions + Cost of materials for 500 transmissions
= 275,550 dollars + 50,800 dollars
= 326,350 dollars
Therefore, the total cost of producing 500 transmissions is 326,350 dollars.