Prices to a concert cost N$200 for an adult and N$150 for a child, the concert venue can accommodate at most 240 people. The organizers are giving a N$20 discount to every adult and N$10 discount for every child but do not want the total discounted amount to exceed N$3200. Draw a graph and use it to answer the following questions: i. How many tickets altogether should the organisers sell in order to maximise their sales amount? ii. How many tickets of each type (adult and child) should they sell to get a maximum sales amount? iii. What is the maximum sales amount the organisers can make? iv. If the profit is calculated as follows: profit = total sales – total discount amount. How much profit will the organisers make from the maximum sales? Overall presentation (neat, clear and well presented)

i. 240 tickets

ii. 80 adults and 160 children

iii. N$ 40,000.00

iv. Profit= N$ 36,800.00

Explanation:

Ok so in order to solve this problem we need to start by building our system of equations from the restrictions the problem gives us:

let's say that

x=# of adult tickets

y= # of children tickets

so

"... the concert venue can accommodate at most 240 people."

this translates to the following inequality:

"The organizeres are giving a N$20 discount to every adult and N$10 discount for every child but do not want the total descounted amount to exceed N$3200."

Translates to

and we know we cannot sell a negative number of adult and children tickets so the last restrictions are:

so we can now graph our system of inequalities (see graph attached)

the procedure to graph a linear equation is as follows:

1. Pick an x-value

2. Find the corresponding y-value with the provided equation we need to graph.

3. Write the coordinates as an ordered pair (x,y)

4. Repeat the process with a second x-value.

5. Graph the two points you found on the previous steps.

6. Connect the points with a straight line.

So the feasible region is the one that all restrictions will have in common and the maximum and minimum points for our objective function will be the marked points, which are the vertices of the feasible region. So we test them to see which will maximize our objective function.

Objective function:

s=200x+150y

(0,0)

s=200(0)+150(0)=0

(0,240)

s=200(0)+150(240)=N$36,000

(80,160)

s=200(80)+150(160)=N$40,000

(160,0)

s=200(160)+150(0)=N$32,000

So when comparing the results we can see that the objective function will be maximized at the point (80,160) so:

i) How many tickets altogether should the organisers sell in order to maximize their sales amount?

total # of tickets = x+y = 80+160=240 tickets

ii) How many tickets of each type (adult and child) should they sell to get a maximum sales amount?

x                                   y

80 adult tickets and 160 child tickets.

iii) What is the maximum sales amount the organizers can make?

s=200(80)+150(160)=N$40,000

iv) If the profit is calculated as follows: profit = total sales - total discount amount. How much profit will the organisers make from the maximum sales?

Profit= total sales - total discount

total sales=200(80)+150(160)=N$40,000

total discount = 20(80)+10(160)=N$3,200

Profit=N$40,000-N$3,200=N$36,800.00

the answer is:

in a biology class, the teacher started explaining a new lesson about the dna structure. personally, i found this lecture hard to understand. so i decided to use my critical thinking skills to be able to understand it. i analysed the different ideas, and broke them down into smaller parts to assimilate each. then i started evaluation and tried to link what i am learning with real life experiences so that i can make sure that i know how everything i am learning relates. finally, i started questioning by researching more what i learned and asking more questions that can me through my learning process. reflecting on the information meant that i should review it. all this me greatly understand what i previously found hard to understand.

hope it !

answer: compare a myth legend, or classic work of literature of you choice to a modern work that reinterprets it.focus on the similarities in theme between the newer work and the original, and provide examples that illustrate these themes from both works. the modern work may be any novel, movie, play, short story, or other storytelling medium with which you’re familiars long as it is clearly inspired by a myth, legend, or classic work of literature.

short-response prompt  

read the following excerpt from “fish cheeks” by amy tannin which tan recounts a christmas eve dinner.  

i fell in love with the minister’s son the winter i turned fourteen. he was not chinese, but as white as mary in the manger. for christmas i prayed for this blond-haired boy, robert, and a slim new american nose.  

on christmas eve i saw that my mother had outdone herself in creating a strange menu. she was pulling black veins out of the backs of fleshy prawns. the kitchen was littered with appalling mounds of raw food: a slimy rock cod with bulging fish eyes that pleaded not to be thrown into a pan of hot oil. tofu, which looked like stacked wedges of rubbery white sponges. a howl soaking dried fungus back to life. a plate of squid, their backs crisscrossed with knife markings so they resembled bicycle tires.  

after everyone had gone, my mother said to me. “you want to be the same as american girls on the outside.” she handed me an early gift. it was a miniskirt in beige tweed. “but in side you must always be chinese. you must be proud you are different. your only shame is to have shame.”