Mifflin Co. reported the following for the current year: net sales of $60,000; cost of goods sold of$38,000; beginning balance in accounts receivable of $14,000; and ending balance in accounts receivable of$6,000.

Compute (b) days' sales uncollected. Round to one decimal. Hint: Accounts receivable turnover uses average accounts receivable and days' sales uncollected uses the ending balance in accounts receivable.

After closing time, the store manager would like to know how much business was transacted during the day. Modify the CashRegister class to enable this functionality. Supply member functions get_sales_total and get_sales_count to get the total amount of all sales and the number of sales. Supply a member function reset_sales that resets any counters and totals so that the next day’s sales start from zero.

Consider the sales prediction model developed for Northern Household Goods in one of the previous examples.

a. Estimate per capita sales if the mean disposable income is $56,000.

b. Interpret the coefficients$b_0$and$b_1$for Northern's management.

c. You have been asked to estimate per capita sales if mean disposable income grows to$64,000. Discuss how you would proceed and indicate your cautions.

You own two restaurants. From 1995 to 2000 , the sales $R_1$ (in thousands of dollars) for one restaurant can be modeled by

$$R_1=480-8 t-0.8 t^2, \quad t=0,1,2,3,4,5$$

where $t=0$ represents 1995 . During the same 6-year period, the sales $R_2$ (in thousands of dollars) for the second restaurant can be modeled by

$$R_2=254+0.78 t, \quad t=0,1,2,3,4,5 .$$

Write a function that represents the total sales for the two restaurants. Use a graphing utility to graph the total sales function.

Sonic Inc. manufactures two models of speakers, Rumble and Thunder. Based on the following production and sales data for June, prepare (a) a sales budget and (b) a production budget:

$$\begin{array}{lrr} & \text{Rumble} & \text{Thunder}\\ \text{Estimated inventory (units), June 1 . . . . . . . . . . . . . . . . . .} & 750 & 300\\ \text{Desired inventory (units), June 30. . . . . . . . . . . . . . . . . . . . } & 500 & 250\\ \text{Expected sales volume (units):}\\ \text{East Region. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . } &12,000 & 3,500\\ \text{West Region . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . } &14,000 & 4,000\\ \text{Unit sales price . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . } & \$160 & \$200 \end{array}$$

This exercise requires the extreme value property. Carmen Ramos has a territory that can be described in terms of a rectangular grid as the region bounded by the curve $y = x^2$ and the line y = 16, where x and y are in miles. She determines that the number of units S(x, y) she can tell at each grid point (x, y) in her region is given by the function $S(x, y)=6 x^{2}-36 x+9 y^{2}-6 y+60.$ At what point(s) in Carmen's sales territory should she expect maximum sales to occur, and what are her maximum expected sales? Answer the same question for maximum sales.

Serena has job offers from two car dealerships. Classic Cars offers her a base salary of $22,000 per year plus an additional 1% commission on all sales she makes. Sweet Rides offers her a base salary of$13,000 per year plus an additional 2.5% commission on all sales she makes. Determine the amount of car sales in dollars for which both dealerships will pay Serena the same amount. Explain which offer Serena should accept based on the amount of car sales she expects to have.

Pizza sales and Price. A linear model fit to predict weekly Sales of frozen pizza (in pounds) from the average Price($/unit) charged by a sample of stores in the city of Dallas in 39 recent weeks:$ $\widehat{Sales}=141,865.53-24,369.49 Price$$

a) What is the explanatory variable?

b) What is the response variable?

c) What does the slope mean in this context?

d) What does the y-intercept mean in this context? Is it meaningful?

SoundLab Inc. manufactures two models of speakers, DL and XL. Based on the following production and sales data for November 2014, prepare (a) a sales budget.

	DL	XL
Estimated inventory (units), November 1	270	85
Desired inventory (units), November 30	315	55
Expected sales volume (units):
East Region	2,450	960
West Region	2,170	880
Unit sales price	$ 170	$ 280

Elaine and Abraham Martz have homes in Florida and Ohio. They realize that they could save $1,154.13 in sales tax on their new luxury automobile if they purchase it in their Florida community, where the sales tax rate is 4.75%, rather than in their Ohio community, where the sales tax rate is 7.5%. The auto's total selling price is the same in Florida and Ohio. What is the total purchase price of their auto if they purchase it in Florida?

Consider the next data from a small bookstore. | Number of Sales People Working | Sales (in \$1000 ) | | :---: | :---: | | 2 | 10 | | 3 | 11 | | 7 | 13 | | 9 | 14 | | 10 | 18 | | 10 | 20 | | 12 | 20 | | 15 | 22 | | 16 | 22 | | 20 | 26 | |$ $\bar{x}=10.4 |$ $$ \bar{y}$=17.6 | | SD(x)=5.64 | SD(y)=5.34 | a) Prepare a scatterplot of Sales against the Number of Salespeople working. $$

A sales manager presented the following results at a sales meeting.

$$\begin{array}{lllllllll} {\text {Year, } x} & {} & {1} & {2} & {3} & {4} & {5} & {6} & {7} \\ {\text {Rate of Sales, }} & {f(x)} & {0.4} & {0.6} & {0.9} & {1.1} & {1.3} & {1.4} & {1.6} \end{array}$$

Find the total sales over the given period as follows. a. Plot these points. Connect the points with line segments. b.Use the trapezoidal rule to find the area bounded by the broken line of part a, the x-axis, the line x=1, and the line x=7. c. Approximate the same area using Simpson’s rule.

The electronic cigarette was launched in 2007 , and since then sales have increased from about $\$ 20$ million in 2008 to about $\$ 500$ million in 2012 (Sources: UBS; forbes.com). The exponential function

$$S(x)=20.913(2.236)^x,$$

where $x$ is the number of years after 2008 , models the sales, in millions of dollars. Use this function to estimate the sales of e-cigarettes in 2011 and in 2015. Round to the nearest million dollars.

The daily sales total (except Saturday) at a small restaurant has a probability distribution that is approximately normal, with a mean $\mu$ equal to $1230 per day and a standard deviation$\sigma$equal to$120.

a. What is the probability that the sales will exceed $1400 for a given day?

b. The restaurant must have at least$1000 in sales per day to break even. What is the probability that on a given day the restaurant will not break even?