Cotner Clothes Inc. is considering the replacement of its old, fully depreciated knitting machine. Two new models are available: (a) Machine $190-3$, which has a cost of $\$ 190,000$, a $3$-year expected life, and after-tax cash flows (labor savings and depreciation) of $\$ 87,000$ per year; and (b) Machine $360-6$, which has a cost of $\$ 360,000$, a $6$-year life, and after-tax cash flows of $\$ 98,300$ per year. Assume that both projects can be repeated. Knitting machine prices are not expected to rise because inflation will be offset by cheaper components (microprocessors) used in the machines. Assume that Cotner's WACC is $14 \%$. Using the replacement chain and EAA approaches, which model should be selected? Why?

A pipe friction experiment for air consists of a smooth brass tube with 63.5 mm inside diameter; the distance between pressure taps is 1.52 m. The pressure drop is indicated by a manometer filled with Meriam red oil. The centerline velocity U is measured with a pitot cylinder. At one flow condition, U = 23 . 1 m/s and the pressure drop is 12.3 mm of oil. For this condition, evaluate the Reynolds number based on average flow velocity. Calculate the friction factor and compare with the value obtained from

$$\frac{1}{\sqrt{f}}=-2.0 \log \left(\frac{e / D}{3.7}+\frac{2.51}{\operatorname{Re} \sqrt{f}}\right) \text { for turbulent flow }(R e \geq 2300)$$

(use n = 7 in the power-law velocity profile).

The silicon diode shown in figure is described by:

$$i_D=I_o\left(e^{v_D / v_T}-1\right)$$

where at $T=300 \mathrm{~K}$

$$\begin{aligned} I_o & =2.030 \times 10^{-15} \mathrm{~A} \quad V_T=\frac{k T}{q} \approx 26 \mathrm{mV} \\ v_S & =5.3 \mathrm{~V}+7 \cos (\omega t) \mathrm{mV} \\ \omega & =377 \mathrm{~rad} / \mathrm{~s} \quad R=4.6 \mathrm{~k} \Omega \end{aligned}$$

Determine the current $i_D$ at the operating point $Q$ : a. Using the diode offset model. b. By graphically solving the circuit characteristic (i.e., the DC load-line equation) and the device characteristic (i.e., the diode equation).

Twenty-five consecutive samples of size $\mathrm{n}=5$ were collected to construct an $\overline{x}$-chart. The sample means and ranges for the data are displayed in the following table.

The hot water needs of a household are to be met by heating water at $55^{\circ} \mathrm{F}$ to $180^{\circ} \mathrm{F}$ by a parabolic solar collector at a rate of $5 \mathrm{lbm} / \mathrm{s}$. Water flows through a $1.25$-in-diameter thin aluminum tube whose outer surface is black anodized in order to maximize its solar absorption ability. The centerline of the tube coincides with the focal line of the collector, and a glass sleeve is placed outside the tube to minimize heat losses. If solar energy is transferred to water at a net rate of $350 \mathrm{Btu} / \mathrm{h}$ per ft length of the tube, find the necessary length of the parabolic collector to meet the hot water requirements of this house. Also, find the surface temperature of the tube at the exit.

Which statement is true about what will happen when the example code runs?

1: main PROC
2:     mov eax,40
3:     push offset Here
4:     jmp Ex4Sub
5:   Here:
6:     mov eax,30
7:     INVOKE ExitProcess,0
8: main ENDP
9:
10: Ex4Sub PROC
11:     ret
12: Ex4Sub ENDP

a. EAX will equal 30 on line 7

b. The program will halt with a runtime error on Line 4

c. EAX will equal 30 on line 6

d. The program will halt with a runtime error on Line 11

A two-dimensional diverging duct is being designed to diffuse the high-speed air exiting a wind tunnel. The $x$-axis is the centerline of the duct (it is symmetric about the $x$-axis), and the top and bottom walls are to be curved in such a way that the axial wind speed $u$ decreases approximately linearly from $u_1=300 \mathrm{~m} / \mathrm{s}$ at section 1 to $u_2=100 \mathrm{~m} / \mathrm{s}$ at section 2 (Fig. P9-36). Meanwhile, the air density $\rho$ is to increase approximately linearly from $\rho_1=0.85 \mathrm{~kg} / \mathrm{m}^3$ at section $1$ to $\rho_2=1.2 \mathrm{~kg} / \mathrm{m}^3$ at section $2$. The diverging duct is $2.0 \mathrm{~m}$ long and is $1.60 \mathrm{~m}$ high at section $1$ (only the upper half is sketched in the figure; the halfheight at section $1$ is $0.80 \mathrm{~m}$ ). (a) Predict the $y$-component of velocity, $v(x, y)$, in the duct. (b) Plot the approximate shape of the duct, ignoring friction on the walls. $(c)$ What should be the half-height of the duct at section $2$ ?

The data in the next table were collected for the purpose of constructing an $\bar{x}$ chart.

c. Compute and plot the centerline and the upper and lower control limits for the $\bar{x}$ chart.

A hard rubber ball, not affected by air resistance in its motion, is tossed upward from shoulder height, falls to the sidewalk, rebounds to a somewhat smaller maximum height, and is caught on its way down again. This motion is represented where the successive positions of the ball (A) through (G) are not equally spaced in time. At point (E) the center of the ball is at its lowest point in the motion. The motion of the ball is along a straight line, but the diagram shows successive positions offset to the right to avoid overlapping. Choose the positive $y$ direction to be upward.
($i$) Rank the situations (A) through (G) according to the speed of the ball $\left|v_y\right|$ at each point, with the largest speed first.
($ii$) Rank the same situations according to the velocity of the ball at each point.
($iii$) Rank the same situations according to the acceleration $a_y$ of the ball at each point. In each ranking, remember that zero is greater than a negative value. If two values are equal, show that they are equal in your ranking.

This problem is identical to Problem earlier Consider the circuit in Fig. earlier with the device geometries shown at the bottom of this page. Let $I_{\mathrm{REF}}=225 \mu \mathrm{A}$, $\left|V_t\right|$ for all devices $=0.75 \mathrm{~V}, \mu_n C_{a x}=180 \mu \mathrm{A} / \mathrm{V}^2, \mu_p C_{a x}=$ $60 \mu \mathrm{A} / \mathrm{V}^2,\left|V_A\right|$ for all devices $=9 \mathrm{~V}, V_{D D}=V_{\mathrm{SS}}=1.5 \mathrm{~V}$. Determine the width of $Q_6, W$, that will ensure that the op amp will not have a systematic offset voltage. Then, for all devices, evaluate $I_{D D}\left|V_{O V}\right|,\left|V_{G S}\right|, g_s$, and $r_a$. Provide your results in a table. Also find $A_1, A_2$, the dc open-loop voltage gain, the input common-mode range, and the output voltage range. Neglect the effect of $V_A$ on the bias currents.

A balanced budget amendment would allegedly cause instability, according to a common argument. The fiscal policy variables G and T are thought to be independent of income level. But this is not how things work in the real world. Since taxes are primarily based on income, larger incomes tend to result in higher taxes. In this issue, we look at how taxes react automatically to changes in autonomous spending to help offset their effects on output. Take into account the subsequent behavioural equations:

$$\begin{aligned} C &=c_0+c_1 Y_D \\ T &=t_0+t_1 Y \\ Y_D &=Y-T \end{aligned}$$

G and I are both constant. Assume that t1 is between 0 and 1. Suppose that the government starts with a balanced budget and that there is a drop in c0. What happens to Y? What happens to taxes?

The velocity in the $2-\text{cm}$-diameter pipe of Fig. has only one nonzero velocity component given by $u(r, t)=2\left(1-r^2 / r_0^2\right)\left(1-e^{-t / 10}\right)~\mathrm{m} / \mathrm{s}$, where $r_0$ is the radius of the pipe and $t$ is in seconds. Calculate the maximum velocity and the maximum acceleration: (a) Along the centerline of the pipe (b) Along a streamline at $r=0.5 \mathrm{~cm}$ (c) Along a streamline just next to the pipe wall [Hint: Let $v_z=u(r, t), v_r=0$, and $v_\theta=0$ in the appropriate equations in Table.]

An ergonomics consultant is engaged by a large consumer products company to see what they can do to increase productivity. The consultant recommends an "employee athlete" program, encouraging every employee to devote 5 minutes an hour to physical activity. The company worries that the gains in productivity will be offset by the loss of time on the job. They'd like to know if the program increases or decreases productivity. To calculate it, they monitor a random sample of 145 employees who word process, calculating their hourly keystrokes both before and after the program is instituted. Here are the data:

a) What are the null and alternative hypotheses?

The compact fluorescent bulb is another fairly new light source that is likely to have a large impact on home lighting. These bulbs combine the energy effi ciency of traditional fl uorescent lights with the smaller size, “warmer” light, and dimming ability of incandescent lights. Although compact fluorescent bulbs are expensive, manufacturers claim that subsequent savings will more than offset the initial costs. Analyze the relative cost of incandescent versus compact fluorescent lighting, assuming that the information in the table below is accurate. Are industry claims of cost savings justified?