Question

c. y b, where b is a constant d. ybx, where b is a constant e) = 12-0.1x f) = 15-bx + cx, where b, c are constants g, y = 15 + 3x-0.5x' where b, c are constantsy'-b+2cX 1. У = 4.ln(2x) ,, y = 1 1 + ce, where c, d are constants 'scha 2. Control VariableBenfits Costs Benefit Benefit Cost MC( (12 points total) Complete the following table to find the value of Q that maximizes net benefits Totalー-Total-T-Net Marginal | Marginal Margnal Net Benefit MNB(O 0 5 30 1o 15 245 360 30 330 os 10 o 12 470 | 575 | 75 1500 | 4 0 | 15 | 100 | 665 105 740 1406o0 40 | 780 | 180 |Goo | Ο | 22. 225 10 795 275 50 50

I want to make sure I have done all this right. Plus I’m looking for correct answers in the MNB(Q) category for question #2.

Answer 1

1.

It is the first degree differentiation of the given equations. Answers were already given and were duly verified. All answers are found to be correct in question 1 of differentiation.

2.

Control Variable (Q)	Total Benefits B(Q)	Total Cost C (Q)	Net Benefit NB (Q)	Marginal Benefit MB(Q)	Marginal Cost MC(Q)	Marginal Net Benefit MNB(Q)
0	0	0	0
1	125	5	120	125	5	120
2	245	15	230	120	10	110
3	360	30	330	115	15	100
4	470	50	420	110	20	90
5	575	75	500	105	25	80
6	665	105	560	90	30	60
7	740	140	600	75	35	40
8	780	180	600	40	40	0
9	795	225	570	15	45	-30
10	795	275	520	0	50	-50

It is Q = 8 where the net benefit is maximized.

At Q = 8

Net benefit = profit - cost = 780-180

Net benefit = 600