. The design costs of an advertisement in a glossy magazine are $9000 and the cost per cm2 of print is $50. (a) Write down an expression for the total cost of publishing an advert which covers x cm2. (b) The advertising budget is between $10 800 and $12 500. Write down and solve an inequality to work out the minimum and maximum area that could be used.

50. Advertising. Sound Software estimates that it will sell N units of a program after spending a thousands of dollars on advertising, where N(a) = -a? + 300a + 6, 0 < a< 300. Find the maximum number of units that can be sold and the amount that must be spent on advertising in order to achieve that maximum.

Determine two positive values such that the sum of the two numbers is 105 and the product of the first number and the square of the second number is a maximum. Enter the solutions using a comma-separated list. Determine the maximum value. Question Help: O Message instructor Submit All Parts

5. A city is planning to build a circular water pond for the new park. The depth of the pond will be 2 ft. and because of water resources the maximum volume will be 12 000ft. Find the radius of the pond. Use the equation V = Tr2h where V is the volume, r is the radius and h is the depth.

Use calculus to justify your answer and show your work. A farmer plans to fence a rectangle pasture next to a river. The pasture must contain 114242 square feet. No fencing is needed along the river. What demensions will require the least amount of fencing?  objective function in one variable: dimensions: total amount of fencing:

QUESTION 2 Jim wants to buy a computer. The total cost is $1,180. If he can save $60 a month, how long will it take for him to save up for the computer? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px !!

A company produces lamps, for which the variable cost is $7 per lamp and the fixed costs are $25000. They will sell the lamps for $80 each. Let be the number of lamps produced. a) Write an expression to represent the total cost. C(x) = b) Write an expression to represent the total revenue. R(x) = c) Find the number of lamps which must be produced to break even.

The figures to the right represent the number of bakeries in two towns. (a) How are the figures misleading? OA. It looks like bakeries in Warm Springs are much larger than those in Denton. B. It looks like Warm Springs has slightly fewer bakeries than Denton. OC. The figures are not misleading. D. It looks like Warm Springs has significantly more bakeries than Denton. (b) What could be done to improve the graphic? OA. The graph does not need to be changed. OB. The Denton figure should be 70% as large as the Warm Springs figure. OC. The Warm Springs figure should be 5% smaller than it is now. D. The Denton figure should be 10% smaller than the Warm Springs figure. Warm Springs - 10 Denton - T