The following selected accounts appear in Shaw Company's unadjusted trial balance at December 31, 2018, the end of its fiscal year (all accounts have normal balances).

$$\begin{array}{lrlr} \text{ Prepaid advertising }& \$ 1,200 &\text{ Performance obligations }& \$ 5,400 \\ \text{ Wages expense }& 43,800 &\text{ Service fees revenue }& 87,000 \\ \text{ Prepaid insurance }& 3,420 &\text{ Rental income }& 4,900 \\ \end{array}$$

Prepare entries on January 4. 2019, using the financial statement effects template and in journal entry form, 10 record (1) payment of $2.400 cash in wages. which includes the$1,300 accrued at December 31 and (2) cash receipt of the $1,000 rent revenue owed from the tenant.

You are evaluating the performance of a large electromagnet. The magnetic field of the electromagnet is zero at $t=0$ and increases as the current through the windings of the electromagnet is increased. You determine the magnetic field as a function of time by measuring the time dependence of the current induced in a small coil that you insert between the poles of the electromagnet, with the plane of the coil parallel to the pole faces as in Fig. we saw earlier. The coil has 4 turns, a radius of $0.800 \mathrm{~cm}$, and a resistance of $0.250 \Omega$. You measure the current $i$ in the coil as a function of time 1 . Your results are shown in FLFig. we saw earlier. Throughout your measurements, the current induced in the coil remains in the same direction. Calculate the magnetic field at the location of the coil for $t=2.00 \mathrm{~s}$,

A vapor-compression refrigeration cycle with Refrigerant 134 as the working fluid operates with an evaporator temperature of $50^{\circ} \mathrm{F}$ and a condenser pressure of $180\ \mathrm{lbf}/ \mathrm{in}^2$ Refrigerant enters the condenser at $140^{\circ} \mathrm{F}$ and exits as sat urated liquid. The cycle has a refrigeration capacity of $5\ \text{tons}$. Determine (a) the refrigerant mass flow rate, in $\mathrm{lb} / \mathrm{min}$. (b) the compressor isentropic efficiency. (c) the compressor power, in horsepower. (d) the coefficient of performance. Plot each of the quantities calculated in parts (b) through (d) for compressor exit temperatures varying from $130^{\circ} \mathrm{F}$ to for compressor exit temperatures varying from $130^{\circ} \mathrm{F}$ to $140^{\circ} \mathrm{F}$.

Santana Rey’s two departments, Computer Consulting Services and Computer Workstation Furniture Manufacturing, have each been profitable for Business Solutions. Santana has heard of the cash conversion cycle and wants to use it as another performance measure for the workstation manufacturing department. Data below are for the most recent two quarters.

Required

1. Compute the cash conversion cycle for the first quarter.

2. Compute the cash conversion cycle for the second quarter.

3. Did the cash conversion cycle increase or decrease from the first to the second quarter?

For the centrifugal water pump of the earlier problem, plot the pump's performance data: $H$ (ft), bhp (hp), and $\eta_{\text {purp }}$ (percent) as functions of $\dot{V}$ (gpm), using symbols only (no lines). Perform linear least-squares polynomial curve fits for all three parameters, and plot the fitted curves as lines (no symbols) on the same plot. For consistency, use a first-order curve fit for $H$ as a function of $\dot{V}^2$, use a second-order curve fit for bhp as a function of both $\dot{V}$ and $\dot{V}^2$, and use a third-order curve fit for $\eta_{\text {pamp }}$ as a function of $\dot{V}, \dot{V}^2$, and $\dot{V}^3$. List all curve-fitted equations and coefficients (with units) for full credit. Find the BEP of the pump based on the curve-fitted expressions.

SAT Performance. The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writing. Each part is scored on an 800 -point scale. Information on test scores for the 2009 version of the SAT is available at the College Board website. A sample of SAT scores for six students follows.

$$\begin{array}{cccc} \text { Student } & \begin{array}{c} \text { Critical } \\ \text { Reading } \end{array} & \text { Mathematics } & \text { Writing } \\ 1 & 526 & 534 & 530 \\ 2 & 594 & 590 & 586 \\ 3 & 465 & 464 & 445 \\ 4 & 561 & 566 & 553 \\ 5 & 436 & 478 & 430 \\ 6 & 430 & 458 & 420 \end{array}$$

Using a .05 level of significance, do students perform differently on the three portions of the SAT?

A spring-mass-damper system, as shown in Figure , is used as a shock absorber for a large high-performance motorcycle. The original parameters selected are $m=1 \mathrm{~kg}, b=9 \mathrm{~N} \mathrm{~s} / \mathrm{m}$, and $k=20 \mathrm{~N} / \mathrm{m}$. (a) Determine the system matrix, the characteristic roots, and the transition matrix $\boldsymbol{\Phi}(t)$. The harsh initial conditions are assumed to be $y(0)=1$ and $d y /\left.d t\right|_{t=0}=2$. (b) Plot the response of $y(t)$ and $y(t)$ for the first two seconds. (c) Redesign the shock absorber by changing the spring constant and the damping constant in order to reduce the effect of a high rate of acceleration force $\dot{y}(t)$ on the rider. The mass must remain constant at $1 \mathrm{~kg}$.

Mark Washington, CFA, is an analyst with BIC. One year ago, BIC analysts predicted that the U.S. equity market would most likely experience a slight downturn and suggested delta-hedging the BIC portfolio. As predicted, the U.S. equity markets did indeed experience a downturn of approximately 4% over a 12-month period. However, portfolio performance for BIC was disappointing, lagging its peer group by nearly 10%. Washington has been told to review the options strategy to determine why the hedged portfolio did not perform as expected.

Washington considers a put option that has a delta of 2.65. If the price of the underlying asset decreases by $6, then what is the best estimate of the change in option price?

Mark Washington, CFA, is an analyst with BIC. One year ago, BIC analysts predicted that the U.S. equity market would most likely experience a slight downturn and suggested delta-hedging the BIC portfolio. As predicted, the U.S. equity markets did indeed experience a downturn of approximately 4% over a 12-month period. However, portfolio performance for BIC was disappointing, lagging its peer group by nearly 10%. Washington has been told to review the options strategy to determine why the hedged portfolio did not perform as expected. Washington considers a put option that has a delta of −.65. If the price of the underlying asset decreases by $6, then what is the best estimate of the change in option price?

Performance data for a pump are

$$\begin{matrix} \text{H (ft)} & \text{90} & \text{87} & \text{81} & \text{70} & \text{59} & \text{43} & \text{22}\\ \text{Q (cfm)} & \text{0} & \text{50} & \text{100} & \text{150} & \text{200} & \text{250} & \text{300}\\ \end{matrix}$$

The pump is to be used to move water between two open reservoirs with an elevation increase of 24 ft. The connecting pipe system consists of 1750 ft of commercial steel pipe containing two $90^{\circ}$ elbows and an open gate valve. Find the flow rate if we use (a) 8-in., (b) 10-in., and (c) 12-in. (nominal) pipe.

Performance of stock screeners. Investment companies provide their clients with automated tools-called stock screeners to help them select a portfolio of stocks to invest in. The American Association of Individual Investors (AAII) provides statistics on stock screeners at its Web site, www.aaii.com. The next table lists the annualized percentage return on investment (as compared to the Standard & Poor's 500 Index) for 13 randomly selected stock screeners. (Note: A negative annualized return reflects a stock portfolio that performed worse than the S&P 500.) Compute the median for the data set. Interpret its value.

$$\begin{array}{lllllllllllll}9.0 & -.1 & -1.6 & 14.6 & 16.0 & 7.7 & 19.9 & 9.8 & 3.2 & 24.8 & 17.6 & 10.7 & 9.1\end{array}$$

A123 shares were originally offered for sale at a price of $\$ 13.50$. Three months later, the stock traded for about $\$ 18$. What return did investors earn over this period? On November 10, 2009, A123 reported its 3rd quarter financial results. From November 9 to November 11 , the firm's stock price fell from $\$ 17.85$ to $\$ 16.88$. Given that $\mathrm{A} 123$ has 102 million shares outstanding, what were the dollar and percentage losses that shareholders endured in the days surrounding the earnings release? Over the same three days (November 9-11), the Nasdaq stock index moved up $0.6 \%$. How does this influence your thinking about A123's stock performance around this time?

Oil executives frequently compare the performance and efficiency of their company with those of other major oil companies. The following data is taken from Total Oil's $2013$ accounts.

$$\begin{array}{|l|l|l|l|l|l|l|l|} \hline\text{ Credit } & \text{ Creditors } & \text{ Debtors } & \text{ Long-term } & \text{ Inventories } & \text{ Cost of } & \text{ Capital } & \text{ Credit }\\ \text{ sales (\$m)} & \text{ (accounts } & \text{ (accounts } & \text{ loans(\$m)} & \text{ (\$m) } & \text{ sales (\$m) } & \text{ employed } & \text{ purchases } \\ & \text{ payable) } & \text{ receivable) } &&&& \text{ (\$m) } & \text{ (author’s } \\ & \text{ (\$m) } & \text{ (\$m) } &&&&& \text{ estimate)(\$m)} \\ \hline227969 & 30282 & 23422 & 34574 & 22097 & 160849 & 177555 & 160000 \\ \hline \end{array}$$

Calculate the creditor days ratio for Total Oil in $2013$.

A power plant is built to provide district heating of buildings that requires 90$^{\circ} \mathrm{C}$ liquid water at 150 kPa. The district heating water is returned at 50$^{\circ} \mathrm{C}$, 100 kPa in a closed loop in an amount such that 20 MW of power is delivered. This hot water is produced from a steam power cycle with a boiler making steam at 5 MPa, 600$^{\circ} \mathrm{C}$, delivered to the steam turbine. The steam cycle could have its condenser operate at 90$^{\circ} \mathrm{C}$, providing the power to the district heating. It could also be done with extraction of steam from the turbine. Suggest a system and evaluate its performance in terms of the cogenerated amount of turbine work.