Bass Pro Shops offers a store discount of 20% on everything in their shop. Themanufacturer of Abu Garcia fishing rods offers a rebate of $30 off any of their rods.Let x represent the price of an Abu Garcia fishing rod. Let d(x) represent a functionfor the store discounted price and let r(x) represent a function for the price using themanufacturer rebate. Set up both functions in terms of x. It is Bass Pro Shops' policyto first apply the manufacturer's rebate first, then apply the store discount. Find thecomposition of these functions. How much would a $129.99 Abu Garcia fly rod costat the Bass Pro Shops?

The expression: "x% of y" is same as xy100.

Answered: Bass Pro Shops offers a store discount…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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You sell candy at an event to make money. When candy are sold for $1.10 per bag, approximately 625 bags are sold at each event. You tried to raise the price to $1.35 and found that the quantity demanded dropped to 525 bags. The startup cost was $500 and the cost to you per bag of peanuts is $0.50. Assume that the demand function is linear and write a function that models the profit from selling x bags of peanuts at an event. What number of bags and what price per bag will get you a maximum profit?
Construct a piecewise tax function where the tax is 5 % on the first $15,000 of income, then 12 % on any income over $15,000.
As Sales Manager for ISeeYou Productions, you are planning to review the prices you charge clients for television advertisement development. You currently charge each client a development fee of $9,000. With this pricing structure, ISeeYou is able to sign 24 contracts per month. This is down from 56 contracts, which was the figure last year when your company charged each client only $5,000. (a) Construct a linear function that yields the development fee p that ISeeYou should charge in order to sign g contracts per month. p(q) = (b) Find the total revenue R ISeeYou obtains by signing q contracts. R(g) = (c) The costs to ISeeYou Productions are estimated as follows: Fixed costs: $80,000 per month 1,000g dollars (when g contracts are signed) Variable costs: Express ISeeYou Productions' monthly cost as a function the number q of contracts. C(a) = (d) Express ISeeYou Productions' monthly profit as a function of the number q of contracts. P(g) = (e) How many contracts could ISeeYou sign to…
Consider the following model to grow simple networks. At time t = 1 we start with a complete network with no = 6 nodes. At each time step t > 1 a new node is added to the network. The node arrives together with m = 2 new links, which are connected to m = 2 different nodes already present in the network. The probability II, that a new link is connected to node i is: N(t-1) II¿ = ki - 1 Ꮓ with Z=(k-1) j=1 where ki is the degree of node i, and N(t - 1) is the number of nodes in the network at timet - 1.

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