I. Choose the best answer for each multiple choice. Please use CAPITAL letters to indicate your answer and write neatly. $(6$ points$)$

$1.$

$2$

$3.$

$1.$ A model that uses a system of symbols to represent a problem is called

A$.$ mathematical.

B$.$ iconic.

C$.$ analog.

D$.$ constrained.

$2.\backslash ($ A$($n$)\backslash$quad $\backslash )$ is a representation of reality or a real$-$life situation.

A$.$ objective

B$.$ model

C$.$ analysis

D$.$ algorithm

$3.$ What is the formula for the break$-$even point of a simple profit model?

A$.$ Fixed Cost $/$ Variable Cost Per Unit

B$.($Selling Price Per Unit $-$ Variable Cost Per Unit$)/$ Fixed Cost

C$.$ Fixed Cost $/($Selling Price Per Unit $-$ Variable Cost Per Unit$)$

D$.$ Fixed Cost $/($Variable Cost Per Unit $-$ Selling Price Per Unit$)$

II$.$ Problem Solving

$4.$ Eastman Publishing Company is considering publishing a paperback textbook on spreadsheet applications for business. The fixed cost of manuscript preparation, textbook design, and production setup is estimated to be $\backslash (\backslash$$ $60,000\backslash ).$ Variable production and material costs are estimated to be $\backslash (\backslash$$ $3\backslash )$ per book. Demand over the life of the book is estimated to be $3800$ copies. The publisher plans to sell the text to college and university bookstores for $\backslash (\backslash$$ $18\backslash )$ each. a$.$ What is the breakeven point? $(3$ points$)$

b$.$ What profit or loss can be anticipated with a demand of $3800$ copies? $(3$ points$)$

c$.$ With a demand of $3800$ copies, what is the minimum price per copy that the publisher must charge to break even? $(4$ points$)$

d$.$ If the publisher believes that the price per copy could be increased to $\backslash (\backslash$$ $21\mathrm{.}95\backslash )$ and not affect the anticipated demand of $3800$ copies, what action would you recommend? What profit or loss can be anticipated? $(4$ points$)$

$5.$ Micromedia offers computer training seminars on a variety of topics. In the seminars each student work at a personal computer, practicing the particular activity that the instructor is presenting. Micromedia is currently planning a two$-$day seminar on the use of Microsoft Excel in statistical analysis. The projected fee for the seminar is $\backslash (\backslash$$ $700\backslash )$ per student. The cost for the conference room, instructor compensation, lab assistants, and promotion is $\backslash (\backslash$$ $11000\backslash ).$ Micromedia rents computers for its seminars at a cost of $\backslash (\backslash$$ $65\backslash )$ per computer per day.

a$.$ Develop a model for the total cost to put on the seminar. Let x represent the number of students who enroll in the seminar. $(3$ points$)$

b$.$ Develop a model for the total profit if x students enroll in the seminar. $(3$ points$)$

c$.$ Micromedia has forecasted an enrollment of $30$ students for the seminar. How much profit will be earned of its forecast is accurate? $(3$ points$)$

d$.$ Compute the breakeven point. $(3$ points$)$