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Protectionism leads to reduction in the competition faced by domestic firms subsidization of imports increased export of goods and services reduction of trade barriers

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are avoided fixed costs relevant in a make or buy decision

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Trekking handlebars or "butterfly bars" are popular with long-distance cyclists because they offer lots of different places to put your hands. The rider applies a vertical load of 90N at the location shown. Image credit: cycletraveloverload.com. All dimensions in mm. Find where the torque is the largest.

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Consider the following dis-utility function, $f(x) = \begin{cases} x, & \text{if } x < 0\\ mx, & \text{otherwise} \end{cases}$ for some real number $m > 1$. If a decision maker use this dis-utility function to make her decisions, is she risk-seeking, risk-neutral or risk-averse?

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Exercise 2. Allison is going to ski in the same valley, but her $x$ and $y$ coordinates are given by $x(t) = 2t$ and $y(t) = t - 1$. She starts her run at time $t = 0$ and ends at time $t = 2$. • Define a parameterization $r(t)$ for Allison's motion in $R^3$, using vector notation. • Find Allison's velocity and acceleration vectors when $t = 1$. • Note that when $t = 1$, Allison and Emily are in danger of colliding! But if they can avoid each other, they'll have different velocity vectors, each of which are tangent to the surface at that point. Use these velocity vectors to find the equation of the plane tangent to the surface at that point.

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Question 2 Taveras Industries developed the following information for the product it sells: Total actual sales $5,000,000 Unit sales 100,000 units Sales price $50 per unit Variable per unit $35 per unit Total Fixed $1,350,000 Required: a. Compute the breakeven point in unit (show all of your work) b. Compute the required units to be sold to earn net income of $200,000. (show all of your work, and round to whole number) Answer for a: Answer for b:

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Problem 39. Let $\phi: C \rightarrow \mathbb{R}$ be defined by $\phi(f) = f(1/2)$ for all $f \in C[0, 1]$. (i) Prove that $\phi$ is a homomorphism. (ii) Find $\phi(C[0, 1])$ and $N(\phi)$. (iii) Identify the ring $C[0, 1]/N(\phi)$.

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?. At 699K, ?G° = -23.25 kJ for the reaction H?(g) + I?(g) ? 2HI (g). Calculate ?G for this reaction if the reagents are both supplied, H?(g) and I?(g), at 10.0 atm pressure and the product, HI(g), is at 1.00 atm pressure. 4. Calculate the concentration of the silver ion, Ag?, in a saturated solution of silver chloride, AgCl. (Ksp = 1.6x10?¹?) 5. A 25.0 ml sample of 0.100 M CH?COOH is titrated with 0.100 M NaOH. Calculate the pH of the solution at equivalent point and also where 20.00 ml of NaOH have been added. (Ka for CH?COOH = 1.8x10??)

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1) LAH, THF 2) Br NH2 PCC CH2C12 H3O+ NaBH4 Ethanol p-Ts-OH OH HO 1) NaCCH 2) H3O+ 3) BH3, THF 4) NaOH, H2O2 1) NaCN H 2) H3O+, Heat H3O+ NH 1) LAH, THF 2) H?O H3O+ NaBH4 Ethanol 1) PhMgBr, THF 2) H3O+

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6- Question: If X(n)=XR(n) is a real sequence without the imaginary part Xi(n)=0, then what is the value of XR (?)? a) \sum_{n=-\infty}^{\infty} x(n) \cos ?n b) \sum_{n=-\infty}^{\infty} x(n) \sin ?n c) -\sum_{n=-\infty}^{\infty} x(n) \cos ?n d) -\sum_{n=-\infty}^{\infty} x(n) \sin ?n

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aurora d.