Anna Marie’s Sweets (AMS) is looking into the All Commodity Volume (ACV) and Product Category Volume (PCV) for its distribution channel. The ACV is 92% while the PCV is 91%. The Category Performance Ratio is 1.125.

Briefly explain to Anna Marie what these measures tell us.

ACV 92% of sales in all categories are generated by stores.

PCV 91% is the percentage share of categories sales made by stores.

The Category Performance Ratio is 1.125 which is greater than 1,therefore, Anna Maris has succeeded in gaining distribution in largest stores and Sweets run above all commodity sales in those stores relative to the market as a whole.

Step-by-step explanation:

ACV:

This is called all commodity volume. It is a measurement of a store’s total sales of all products relative to the sales of all relevant retailers in a given territory. % ACV can provide information on brands with insight into which locations to give priority or lay more emphasis on when it comes to distribution, by showing the “size” of the store not based on physical square footage, but on the amount of product that specific retailer is actually moving off of the shelves. Therefore, 92% of sales in all categories are generated by stores that stock Anna Maris sweet.

PCV:

PCV stands for product category volume. It represents the weighted measure of distribution based on store sales within the product category. It examines the share of the relevant product category sold by stores in which a given product has gained distribution. It measures the ability of a firm to convey products to its customers in terms of total category sales among outlets or stores carrying the brand.

PCV=100 x Total Category Sales of Outlets Carrying Brand ($) ÷ Total Category Sales of All Outlets ($)

Therefore, 91% is the percentage share of categories sales made by stores carrying Anna Marie’s sweet.

Category Performance Ratio:

It represents the relative performance of an outlet in a given product category in combination with its performance in all product categories. Category performance ratio (CPR) is generally represented with percentage (%) and is computed by finding the ratio between PCV (Product Category Volume) and ACV (All commodity volume).

If CPR is greater than 1, then the outlets that comprise that brand perform comparatively better in the sale of the category in question than in the sale of other categories, relative to the whole market.

The Category Performance Ratio is 1.125 which is greater than 1,therefore, Anna Maris has succeeded in gaining distribution in largest stores and Sweets run above all commodity sales in those stores relative to the market as a whole.

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: