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An invoice clerk receives a bill of Ksh.3750 for 10 blank ledger books and 3 filing trays. After discovery that the order had been written out incorrectly, the clerk and the supplier agree that the clerk returns 3 of the ledger books. The supplier sends an extra filing tray. Given that there will be an extra Ksh.250 to pay and there is a 10% discount for orders of 10 ledger books or more, you are required:
(i) Derive linear equations in X and Y to represent the component of the original and revised invoices, where x is the price of the single ledger book and y is the price of a filing tray. (ii) Solve the equations for x and y.
there is a 0.1755 probability that a best-of-seven contest will last four games a 0.1836 probability that it will last
Let denote the amount of money invested at 8. Find an expression in terms of for the amount invested at 6.
Explain the characteristics of integer prgramming problems. Give specific instances in which you would use an integer programming model rather than an LP model. Provide real-world examples.
A bookcase is to be constructed. The length is to be 3 times the height. If 60 feet of lumber is available for the entire unit, find the length and height of the bookcase
Using the Library, web resources, and/or other materials, find a record-breaking temperature (in degrees Fahrenheit) for a town or city of your choice.
Find the vertical asymptote and x-intercept for a given function - State the placement of the vertical asymptote and x-intercept after the transformation.
A company's revenue is the amount of money that comes in from sales before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
Use vector techniques to prove that a triangle and its medial triangle have the same centroid. You may take it as a given fact that the location of the centroid of triangle ABC is the vector (vector OA + vector OB + vector OC)/3.
A suburban hotel derives its gross income from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant.
The production time requirements and the profit contribution per glove are given in the table at the top of the next page.
Use Delta t = 0.2 to estimate the distance that the bug crawls during this hour. Find an overestimate and an underestimate. Then average the two to get a new estimate.
Find and equation of the tangent to the curve at the point corresponding to the given value of the parameter x= cos t + sin 2t, y= sin t + cos 2t (t=0)
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