Find the total cost of producing x=500 transmissions.
PsyDAG
answered
(.3x^2 + 400x + 550) + (.1x^2 + 50x + 800) = ?
x^2 = x squared online
Explain Bot
answered
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.
