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1) A small manufacturer produces special order DVDs for individuals and businesses. The materials and labor costs for each DVD is $0.25. The fixed costs of production are $525. The manufacturer charges a client $5.00 for each DVD. Suppose x denotes the number of DVDs produced and sold. Use the information above to find the following
a) A linear equation which calculates the cost of producing x DVDs.
b) A linear equation which calculates the revenue realized from the sale of x DVDs.
c) A linear equation which determines the profit realized from the production and sale of x DVDs.
d) What is the profit or loss realized from the sale of 125 DVDs?
e) What is the break-even point for this product?
f) Suppose a client wishes to purchase 150 DVDs at a discount. What is the minimum price the manufacturer must charge to break even on the order?
Use the following equation. Fill in the table and graph the line. Determine whether the graph has a positive or negative. Complete the table, plot the ordered pairs, and graph.
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Complete the square and sketch a graph of the following ellipse. Give the coordinates of the centre and the four vertices. What is the length of the major axis?
Calculate the age of a bone fossil
1. An isosceles right triangle has legs measuring (x + 1) cm each. The hypotenuse has measure (x + 5) cm. Find x.
Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..
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Use the Fundamental Counting Principle to determine the number of 3-letter expressions possible under the following circumstances: The first letter must be a vowel (a, e, i, o, or u); the second letter can be any letter except a vowel
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