DIP1MAT02: How Many Seats are in the Theater - Management Assignment Help

Assignment Task:

Task:

Question 1
(a) The local cinema has 24 rows with 30 seats in the first row, 32 in the second row, 34 in the third row, and so forth. How many seats are in the theater?

[3 marks]
(b) Pauline borrowed $15,000 from her sister. She agrees to repay the loan by paying $200 per month to reduce the loan and 0.5% of the unpaid balance each month for using the money. What is the total cost of the loan if she takes 3 years to repay her sister?

[4 marks]
(c) The local mart sells homemade onigiri at $2 each, with an average of 200 onigiri’s sold a month. A recent survey concluded that for each $1 increase in price, 10 less onigiri’s will be sold per month. Let x be defined as the number of times the price is increase by $1. Calculate the maximum monthly revenue that can be generated. What is the optimal selling price for each onigiri to be able to achieve the maximum monthly revenue?
[5 marks]

(d) The cost function for a good is given by C(q) = (q 2 + 1)(q 2 − 2q + 23) where C(q) is the total cost (in dollars) and q is the number of units sold. Find the average rate of change in cost as q increases from 33 to 55 units? Interpret the result.

(e) The marginal profit function of a particular good is given as π
′
(Q) = 10 − Q 500
where
π(Q) is the total monthly profit (in dollars) and Q is the monthly quantity. Find the change in profit when production decreases from 75 units to 33 units. Interpret the result.

Question 2 [20 Marks]
(a) How much interest will Melanie need to pay if she took a loan of $10,000 at a rate of 1.5% yearly compounded monthly for 4 years?

[4 marks]
(b) Zack purchases an annuity to save for his son’s tertiary education. If he is asked to pay $150 per month for 17 years with a return rate of 6.5% per annum compounded monthly, what amount should he expect to receive upon maturity? How much interest did the account accumulate?

[6 marks]
(c) Sam purchases an annuity due account that pays 8% annually compounded semiannually. Sam is currently 34 years of age and has chosen to retire at the age of 65 years. How much would Sam be able to withdraw at retirement if his payments are set at $1,350 every 6 months?

[5 marks]
(d) Calculate the quarterly payment amount for an annuity account with a 5-year tenure and interest rate of 5.5% per annum compounded quarterly if Reginald will need $100,000 to come. Then, compute the monthly payment.

This DIP1MAT02 Management  Assignment has been solved by our Management   Experts at My Uni Paper. Our Assignment Writing Experts are efficient to provide a fresh solution to this question. We are serving more than 10000+Students in Australia, UK & US by helping them to score HD in their academics. Our Experts are well trained to follow all marking rubrics & referencing style.

Be it a used or new solution, the quality of the work submitted by our assignment Experts remains unhampered. You may continue to expect the same or even better quality with the used and new assignment solution files respectively. There’s one thing to be noticed that you could choose one between the two and acquire an HD either way. You could choose a new assignment solution file to get yourself an exclusive, plagiarism (with free Turnitin file), expert quality assignment or order an old solution file that was considered worthy of the highest distinction.