# Other Math

## (a) Sam’s Department Store sells a shirt with discounts of 12 percent and 20 percent, while Alan’s Department Store sells the same type of shirt with discounts of 10 percent, 10 percent and 12 percent.(i) Determine which store offers a higher discount. (5 Marks) (ii) If the list price of the shirt is \$89, calculate the net price of that shirt in Sam’s Department Store.(b) Farid, a furniture shop owner, buys a new set of furniture worth \$9,450. He receives an invoice dated 26 October 2009 with trade discounts of 9 percent, 3 percent and is offered cash discount terms 3/15, 2/30, n/60. (i) Calculate the single discount equivalent to the trade discounts given. (4 Marks) (ii) Determine the total amount due if Farid pays the invoice on 17 November 2009. (4 Marks) (iii) If Farid pays \$5,440 on 3 November 2009, calculate the amount that was credited to Farid’s account.

Question 1 [20 marks](a) Sam’s Department Store sells a shirt with discounts of 12 percent and 20 percent, whileAlan’s Department Store sells the same type of shirt with discounts of 10 percent, 10percent and 12 percent.(i) Determine which store offers a higher discount.(5 Marks)(ii) If the list price of the shirt is \$89, calculate the …

## A furniture company makes bookshelves and desks. Each shelf requires 2 hours for carpentry work and 1 hour for painting whereas each desk requires 3 hours for carpentry work and 4 hours for painting. The company has a maximum of 60 hours and 40 hours of carpentry A work and for painting, in turn, each week. If they make a profit of \$15 per shelf and \$40 per desk, how many shelves and desks should they make? what would the x and y variables be, what is the objective function, the constraints, and the vertices?

A furniture company makes bookshelves and desks. Each shelf requires 2 hours for carpentry work and 1 hour for painting whereas each desk requires 3 hours for carpentry work and 4 hours for painting. The company has a maximum of 60 hours and 40 hours of carpentry A work and for painting, in turn, each …