Gruden Company produces golf discs which it normally sells to retailers for $7 each. The cost of manufacturing 20,000 golf discs is:

Cost of manufacturing
Materials	$ 10,000
Labor	30,000
Variable overhead	20,000
Fixed overhead	40,000
Total	$100,000

Gruden also incurs 5% sales commission ($0.35) on each disc sold. McGee Corporation offers Gruden $4.80 per disc for 5,000 discs. McGee would sell the discs under its own brand name in foreign markets not yet served by Gruden. If Gruden accepts the offer, its fixed overhead will increase from$40,000 to $46,000 due to the purchase of a new imprinting machine. No sales commission will result from the special order.

Instructions (c) What assumptions underlie the decision made in part (b)?

A semidefinite system has at least one_________ body motion.

Plot the magnitude of the resultant R of the three forces as a function of $\theta$ for $0 \leq \theta \leq 360^{\circ}$ and determine the value of $\theta$ which makes the magnitude R of the resultant of the three loads (a) a maximum and (b) a minimum. Record the magnitude of the resultant in each case. Use values of $\phi=75^{\circ} \text { and } \psi=20^{\circ}$.

T. G. Exter’s book Regional Markets, Vol. 2/Households (Ithaca, NY: New Strategist Publications, Inc.) provides information on U.S. households by region of the country. This problem gives data current at the time of the book’s publication. One table in the book cross-classifies households by race (of the householder) and region of residence. The table shows that 7.8% of all U.S. households are Hispanic. a. If race and region of residence are not associated, what percentage of Midwest households would be Hispanic? b. There are 24.7 million Midwest households. If race and region of residence are not associated, how many Midwest households would be Hispanic? c. In fact, there are 645 thousand Midwest Hispanic households. Given this information and your answer to part (b), what can you conclude?

Identify the four types of tissue membranes found in the body.

Consider a uniform flow in the positive x direction combined with a free vortex located at the origin of the coordinate system. The streamline $\psi=0$ passes through the point x = 4, y = 0. Determine the equation of this streamline.

Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week, she is paid$1 $\frac{1}{2} times her regular salary for the overtime hours worked. One week her gross pay was$352.50. How many overtime hours did she work that week?

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.

BIC owns 51,750 shares of Smith & Oates. The shares are currently priced at $69. A call option on Smith & Oates with a strike price of$70 is selling at $3.50 and has a delta of .69. What is the number of call options necessary to create a delta-neutral hedge?

Classify the following carbohydrates as monosaccharides, disaccharides, or polysaccharides. glycogen

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?

The force $\mathbf{F}=30 \mathbf{i}+20 \mathbf{j}-10 \mathbf{k}\ (\mathrm{N})$ (a) Determine the magnitude of the moment of $\mathbf{F}$ about $A$. (b) Suppose that you can change the direction of $\mathbf{F}$ while keeping its magnitude constant, and you want to choose a direction that maximizes the moment of $\mathbf{F}$ about $A$. What is the magnitude of the resulting maximum moment?

Abbas Manufacturing produces wheels for cars. It holds high inventory levels so that one-off orders from major car manufacturers can be satisfied quickly. The world's big car manufacturers demand long credit periods from their suppliers of three months. Bruno has prepared the following cash flow forecast for the next three months:

$$\begin{matrix} \text{\$000} & \text{July} & \text{August} & \text{September}\\ \text{Cash inflows}\\ \text{Cash from debtors' payments} & \text{550} & \text{475} & \text{545}\\ \text{Sale of old equipment} & \text{0} & \text{0} & \text{50}\\ \text{Total cash in} & \text{550} & \text{475} & \text{595}\\ \text{Cash outflows} & \quad & \quad & \quad\\ \text{Materials purchased} & \text{160} & \text{175} & \text{170}\\ \text{Employee costs} & \text{185} & \text{185} & \text{190}\\ \text{New computers} & \text{0} & \text{145} & \text{0}\\ \text{Other costs} & \text{155} & \text{125} & \text{135}\\ \text{Total cash out} & \text{500} & \text{630} & \text{495}\\ \text{Opening bank balance} & \text{(75)} & \text{(25)} & \text{(180)}\\ \text{Net cash flow} & \text{50} & \text{(155)} & \text{x}\\ \text{Closing bank balance} & \text{(25)} & \text{(180)} & \text{y}\\ \end{matrix}$$

$$\begin{matrix} \text{a) What is meant by 'net cash flow'? } & \text{[2]}\\ \text{b) Identify two reasons why Abbas Manufacturing needs high amounts of cash or working capital.} & \text{[2]}\\ \text{c) Calculate the values for x and y in the cash flow forecast. Show your working.} & \text{[4]}\\ \text{d) Amend the cash flow forecast for July assuming cash from debtors and material costs are going to be 10 per cent higher than originally forecast. Show your working.} & \text{[6]}\\ \text{e) Using the cash flow forecast above, advise Abbas Manufacturing on the best ways for the business to reduce its bank overdraft (negative closing balance). Justify your advice.} & \text{[6]}\\ \end{matrix}$$

Given the following voltage transfer function:

$$H(s) = (Vo/Vi) = ((25 × 10^6)/(s² + 1000s + 25 × 10^6)).$$

a) At what frequencies (in radians per second) is the magnitude of the transfer function equal to unity? b) At what frequency is the magnitude of the transfer function maximum? c) What is the maximum value of the transfer function magnitude?

$(a)$ What is the direction and magnitude of an electric field that supports the weight of a free electron near the surface of Earth? $(b)$ Discuss what the small value for this field implies regarding the relative strength of the gravitational and electrostatic forces.