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Darcy Fashions produces hand-stitched dusters and riding coats. Their fixed costs are $2,300 per month. The variable cost per coat in materials and labor is $65. They sell the coats for $120 each. Find the break-even point for how many coats they must sell in a week. How much profit do they make in a month if they sell 40 coats per week? A more skilled workforce to do the stitching would increase the variable cost to $95 per coat, but would increase quality and allow the coats to sell for $210 each. What is the new break-even point for the week? How much monthly profit would they now make selling 40 coats per week? How few coats could they sell per week and still match the profit from the original situation?
Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
Show that any complex number z with |z| = 1, other than z = 1, can be expressed as with an appropriate choice of the real parameter t.
A rectangular Piece of land is 70ft longer than it is wide. Each diagonal between opposite corners is 130ft. What are the dimensions of the parcel?
Find the equation of the sphere if one of its diameters has endpoints (-8, 6, 10) and (-5, 12, 19) which has been normalized so that the coefficient of x^2 is 1.
Water is pumped into a cylindrical tank, standing vertically, at a decreasing rate given at time t minutes by r(t) = 120 - 6t ft3/min for 0 = t = 10.
Let connected simple G have vertices of degrees 4,4,4,5,5,5,6,6,6,7,7,7. Prove that G is non-planar.
A man borrows $30,000 to purchase a car. He agrees to pay $1,000 per month. If the interest rate is 12% compounded monthly,
It costs a $15 flat fee to rent a chain saw, plus $3 a day starting with the first day. Let x represent the number of days rented, so y represents the charge to the user (in dollars).
One distributor lists ink jet printers with 360 dpi and six scalable fonts that can print envelopes, labels, and transparencies for $189.97.
Since the exact value of the integral is p/4, you can estimate the value of p using part (a). Explain why your first estimate is too large and your second.
A rational number r = p/q, where p, q are in Z, is said to be properly reduced if p and q (q > 0) have no common integral factor other than +1 or -1. Define the function f as follows;
A girl classified the 45 books she had on her shelves and drew a pie chart showing her results. the anles she constructed were animal stories 88 degrees. How many books of each type did she have
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