# math

posted by .

You are a manufacturer of a certain item. You’ve calculated that you can sell 80 of these items for \$5 each and you can sell 60 of these items for \$8 each.
Assuming this relationship is linear, write an equation that relates cost to the number of watches you make

• math -

Let p be the price, and N be the sales

If there's a linear relationship,
N = mp + b

Now plug in what you know:

80 = 5m + b
60 = 8m + b

20 = -3m
m = -20/3
b = 340/3

so,

3N = -20p + 340

• math -

P=200\$Q=85

## Similar Questions

1. ### Phoenix

In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost \$10,000 to produce …
2. ### system design

draw a use case diagram for the following situation Stillwater Antiques buys and sells one-of-a-kind antiques of all kinds. Each item is uniquely identified by an item number and is also characterized by a description, asking price, …
3. ### CIS

Design a flowchart using Visual Logic for the following: A program that accepts a candy name (for example, “ chocolate-covered blueberries”), price per pound, and number of pounds sold in the average month, and displays the item’s …

A small fast-food restaurant invests \$4,000 to produce a new food item that will sell for \$4.59. Each item can be produced for \$2.19. (a) How many items must be sold to break even?
5. ### Math

Market research tells you that if you set the price of an item @ 1.50, you will be able to sell 5000 items; and for every 10 cents you lower the price below 1.50 you will be able to sell another 1000 items. Let x be the # of items …
6. ### math

A manufacturer of lapel buttons test marketed a new item at a university. It was found that 1,000 items could be sold if they were priced at \$4, but only 600 items could be sold if the price were raised to \$8. On the other hand, the …