MAT101, SLP4 Revised March 2012 (Dr. Rensvold) A company's costs, in millions of dollars, are given by the equation, C = x2 3x 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items? (Hint: If the number of items sold is 1000, then x=1. C = 12 3(1) 27 C = 1.52 - 3(1.5) - 27 = 1 -3 27 = 2.25 4.5 - 27 C = -29 C = -29.25 $29 million $29,250,000 A company's costs, in millions of dollars, are given by the equation, C = x2 3x 27, where x is the number of items sold, in thousands. How many items must be sold for the costs to be zero? 0 = x2 -3x 27 3 ± (-3)2 -4(1 x -27) / 2(1) 3 ± 9+108 / 2 3 ± 117 / 2 6.9 Approximately 6,900 items An object's height, in meters, when thrown vertically from the ground at a velocity of 80 m/s is given by the equation H = -4.9t2 + 80t. Ignoring wind resistance, what is the height of the ball after 2 seconds? 3 seconds? 10 seconds? H = -4.9(2)2 + 80(2) H = -4.9(3)2 + 80(3) H = -4.9(10)2 + 80(10) -4.9(4) + 160 -4.9(9) + 240 -4.9(100) + 800 -19.6 + 160 -44.1 + 240 -490 + 800 140.4 meters 195.9 meters 310 meters An object's height, in meters, when thrown vertically from the ground at a velocity of 80 m/s is given by the equation H = -4.9t2 + 80t. Ignoring wind resistance, how many seconds will it take the object to return to the ground? In other words, when is H = 0? 0 = -4.9t2 + 80t 0 = -4.9t + 80 -80 = -4.9t t = 16.326 seconds The distance d traveled by an object
QUESTION 4: Kai decides to add color and keep his price the same. This will increase variable costs by $0.40 per issue. What will be the new unit volume (copies per issue) required to maintain $500 profits and cover the increased fixed and variable costs?
1. For financial accounting purposes, what is the total amount of product costs incurred to make 10,000 units?
In our second assumption, instead of using the cost of goods per cases in 1986, we try to use the percentage it counts in the total expenses which is 50.4% and to find the sales needed to break-even. The detail of the calculation is shown in the answer for questions d. The result is that 95,635, a little bit higher than the estimated sales of 90,000.
The variable y represents the height h, and the variable x represents time t; also the coefficients a, b and c have the values:
Suppose that a business incurred implicit costs of $500,000 and explicit costs of $5 million in a specific year. If the firm sold 100,000 units of its output at $50 per unit, its accounting:
Explanations: 5. b. Gross profit = $2,505 (Sales revenue $4,319 – Cost of goods sold $1,814)
Write linear equations to represent the costs for each company based on the number of pallets purchased.
17. A business produces 8 items and sells them for $25 each. The total cost of producing the items is $190 for explicit costs and $200 for implicit costs. Accounting profit is:
The reaction time was calculated by using the formula t=2d 982. The variable ‘d’ is the distance the ruler fell, and ‘t’ is the reaction time.
The total amount of the costs which should be matched with Revenues for 2003 is $71,129. This is done by taking the capitalization amount shown above (217,520), dividing it by the 200,000 unit estimate, and multiplying it by the units that were sold in 2003. The calculation is shown below.
Use the arrows to measure the time it takes to rise to the peak, the total time in the air, and the time it takes to fall from the peak. Record to the first decimal place. The time rising is about 5.3 seconds, the time falling is about 5.3 seconds, and the total time in the air is about 10.6 seconds. All three of these measurements have been rounded to the 10th place. This shows that the amount of time that an object takes rising is the same amount of time the object takes falling, when there is no air resistance, of course.
right-hand side and divide both sides by P, we can rewrite this equation and find the price-cost
Question B: How many units per year must be sold with each process to have annual profits of $50,000 if the selling price is $6.95 per unit?
b 10.6 m at x = 45° 37° x 54 6 a x R x C 0 0 1 2 1 3 3 4 2 4 5 6 3 4.5 4 4.8 5 5