I think your answer is correct
Hoperfuly
K = number of carpenters = 10
<span>C = 15,000+50(10)^2 +60x^2 </span>
<span>C = 15,000+5,000+60x^2 </span>
<span>C = 20,000+60x^2 ----- cost function </span>
<span>Marginal cost function = dC/dx = d/dx [60x^2] = 120x </span>
<span>MC = 120x ----- marginal cost function </span>
<span>Average cost function = C(x)/x = 20,000 /x + 60x </span>
<span>AC = 20,000/x + 60x
</span>Marginal cost when x=14 is:
<span>120(14) = 1,680 </span>
<span>Average cost when x=14 is: </span>
<span>20,000/14 + 60(14) = 2268.57
</span>
<span>Marginal cost is less than the average cost, so the average cost is decreasing as the number of electricians increases.</span>
Step-by-step explanation:
1) for t = 0, the initial value is -0.45 gal. which is funny. when it is really cold, do people add water to the tank somehow instead of consuming water ?
so I guess, that system is really reliable with values greater than 0.
0.0875t = 0.45
t = 5.142857143...°
so, I guess, 6° is the lowest reasonable value for this function.
2) as for any line function, the slope is the rate of change.
so, 0.0875 gal more per 1 degree more in temperature.
3) t = 90
w = 0.0875×90 - 0.45 = 7.425 gal
1. the probability of picking an orange marble is 35% and the probability of picking a pink marble second would be 66%
2. the probability is about 47%