A sporting goods manufacturer produces regulation soccer balls at two plants. The costs of producing $x_1$ units at location 1 and $x_2$ units at location 2 are given by $C_1\left(x_1\right)=0.02 x_1^2+4 x_1+500$ and

$$C_2\left(x_2\right)=0.05 x_2^2+4 x_2+275$$

respectively. If the product sells for $50 per unit, then the profit function for the product is given by

$$P\left(x_1, x_2\right)=50\left(x_1+x_2\right)-C_1\left(x_1\right)-C_2\left(x_2\right) .$$

Find P(300,200).

Mood is a broader term than tone, which refers to the attitude of a speaker or author toward the subject of a work. Mood also differs from atmosphere, which is concerned mainly with the physical qualities that contribute to a mood, such as time, place, and weather. Mood is the emotional quality that the work conveys to the reader. The mood of a literary work can be consistent or can change over the course of the piece.

Over the course of the poem, does the mood shift? Chart the mood in each stanza of the poem to determine your answer. Use the chart below as a guide.

Modulation of Acetyl-CoA Carboxylase Acetyl-CoA carboxylase is the principal regulation point in the biosynthesis of fatty acids. Some of the properties of the enzyme are described below.
(a) Addition of citrate or isocitrate raises the $V_{\max }$ of the enzyme as much as 10 -fold. (b) The enzyme exists in two interconvertible forms that differ markedly in their activities:

$$\text { Protomer (Inactive) } \rightleftharpoons \text { filamentouspolymer (active) }$$

Citrate and isocitrate bind preferentially to the filamentous form, and palmitoyl-CoA binds preferentially to the protomer.
Explain how these properties are consistent with the regulatory role of acetyl-CoA carboxylase in the biosynthesis of fatty acids.

A student breaks a thermometer and spills most of the mercury (Hg) onto the floor of a laboratory that measures 15.2 m long, 6.6 m wide, and 2.4 m high. (a) Calculate the mass of mercury vapor (in grams) in the room at 20 degree C. The vapor pressure of mercury at 20 degree C is 1.7*10^(-6) atm. (b) Does the concentration of mercury vapor exceed the air quality regulation of 0.050 mg Hg/m3 of air? (c) One way to treat small quantities of spilled mercury is to spray sulfur powder over the metal. Suggest a physical and a chemical reason for this action.

Use the following information. The table shows regulation distances between hurdles in women's and men's races. In both the women's and men's events, the race consists of a straight track with 10 equally spaced hurdles.

$$\begin{matrix} \text{Event} & \text{Distance of Race} & \text{Distance from Start to First Hurdle} & \text{Distance Between Hurdles} & \text{Distance from Last Hurdle to Finish}\\ \text{Women's} & \text{100 m} & \text{13.00 m} & \text{8.50 m} & \square\\ \text{Men's} & \text{110 m} & \text{13.72 m} & \text{9.14 m} & \square\\ \end{matrix}$$

Find the distance from the last hurdle to the finish line for the men's race.

Match the structures on the right with their function listed on the left.

$$\begin{matrix} \text{1. Protection from ultraviolet radiation} & \text{a. Reticular layer of the dermis}\\ \text{2. Insulation, energy storage} & \text{b. Dermal blood supply }\\ \text{3. Waterproofing and preventing water loss} & \text{c. Papillary layer of the dermis}\\ \text{4. Temperature regulation} & \text{d. Hypodermis }\\ \text{5. Excretion of water, urea, and salts} & \text{e. Melanocytes }\\ \text{6. Produces the patterns for fingerprints} & \text{f. Stratum corneum}\\ \text{ } & \text{g. Eccrine sweat glands}\\ \end{matrix}$$

Use the following information for this exercise .

The table shows regulation distances between hurdles in women's and men's races. In both the women's and men's events, the race consists of a straight track with 10 equally spaced hurdles.

Find the distance from the last hurdle to the finish line for the men's race.

Indicate whether each of the following statements is true or false.

1. When designing an accounting system, we need to think about the needs and knowledge of both the top managers and various other users.

2. When the environment changes as a result of technological advances, increased competition, or government regulation, an accounting system does not have to be sufficiently flexible to meet the changes in order to save money.

3. In developing an accounting system, cost is relevant. The benefits obtained from the information disseminated must outweigh the cost of providing it.

A widget manufacturer determines that if she manufactures x thousands of widgets per month and sells the widgets for y dollars each, then her monthly profit (in thousands of dollars) will be $P=x y-\frac{1}{27} x^{2} y^{3}-x$. If her factory is capable of producing at most 3,000 widgets per month, and government regulation s prevent her from charging more than $2 per widget, how many should she manufacture, and how much should she charge for each, to maximize her monthly profit?

Target Corporation provides the following footnote relating to its retirement plans in its 2017 10-K report: Defined Contribution Plans Team members who meet eligibility requirements can participate in a defined contribution 401(k) plan by investing up to 80 percent of their eligible earnings. as limited by statute or regulation. We match 100 percent of each team member's contribution up to 5 percent of eligible earnings.

Company match contributions are made to funds designated by the participant, none of which are based on Target common stock. Benefits expense related to these matching contributions was $219 million,$197 million, and $224 million in 2017, 2016, and 2015, respectively.

a. Does Target have a defined contribution or defined benefit pension plan? Explain.

Target Corporation provides the following footnote relating to its retirement plans in its 2017 10-K report: Defined Contribution Plans Team members who meet eligibility requirements can participate in a defined contribution 401(k) plan by investing up to 80 percent of their eligible earnings. as limited by statute or regulation. We match 100 percent of each team member's contribution up to 5 percent of eligible earnings.

Company match contributions are made to funds designated by the participant, none of which are based on Target common stock. Benefits expense related to these matching contributions was $219 million,$197 million, and $224 million in 2017, 2016, and 2015, respectively.

d. Do you see any problems for employees in Target's plan?

The table shows regulation distances between hurdles in woman's and men's races. In both the women's and men's events, the race consists of a straight track with 10 equally spaced hurdles.

$$\begin{matrix} \text{Event} & \text{Distance of Race} & \text{Distance from Start to First Hurdle} & \text{Distance Between Hurdles} & \text{Distance from last Hurdle to Finish}\\ \text{Women's} & \text{100 m} & \text{13.00 m} & \text{8.50 m} & \text{ }\\ \text{Men's} & \text{110 m} & \text{13.72 m} & \text{9.14 m} & \text{ }\\ \end{matrix}$$

Find the distance from the last hurdle to the finish line for the men's race.

You have isolated a gene that is important for the production of milk and wish to examine its regulation. You examine the genomes of human, mouse, dog, chicken, pufferfish, and yeast and note that all genomes except yeast have an orthologous gene.

a. How would you identify the regulatory elements important for the expression of your isolated gene in mammary glands?

b. What does the existence of orthologous genes in chicken and pufferfish tell you about the function of this gene?

Use the following information for this exercise .

The table shows regulation distances between hurdles in women's and men's races. In both the women's and men's events, the race consists of a straight track with 10 equally spaced hurdles.

Find the distance from the last hurdle to the finish line for the women's race.