The owner of a greenhouse and nursery is considering whether to spend $6,000 to acquire the licensing rights to grow a new variety of rosebush, which she could then sell for $6 each. Per-unit variable cost would be $3. If her available land has design and effective capacities of 3,000 and 2,000 rosebushes per year, respectively, and she expects to be 80 percent efficient in her use of this land, how many rosebushes does Rose plan to grow each year on this land? a 1,600 b 2,000 c 1,000 d 2,400 e 3,000

The number of rosebushes the owner of the a greenhouse and nursery plans to grow every year is 1,600.

Step-by-step explanation:

It is provided that the owner of the a greenhouse and nursery has land available to grow 3000 and 2000 rosebushes every year.

She claims to be 80% efficient in the use of the land available.

She is considering to spend $6000 to acquire the licensing rights to grow a new variety of rosebush.

The variable cost will be $3 and she will sell the rosebushes for $6 each.

The formula to compute the number of rosebushes she plans to grow every year is,

Number of rosebushes = Effective Capacity × Efficiency

Thus, the number of rosebushes the owner of the a greenhouse and nursery plans to grow every year is 1,600.

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: