Target 1.2 Retest Worksheet

Transcription

1 -1- e K0O1gM KKcuQtEaq ssokfrtvwfakriek QLpLpCc.U h TAGlElB writgbhqtbs3 rvehspehryve3ds.q j PMGaudeX VwviutXhV IrnEfNifnZiHt5eB NAvlXgpeIblrkai GF. Worksheet b Kuta Software LLC Intermediate Algebra Target 1. Retest Worksheet e fg0b1lg jk5u 3tVaq 0ScoQfothwaPrSe7 XLLLCE.W 3 VAVlFlC zrui1gthxtjst Kreevs1eKrcvepd1.7 Write an inequalit that models the situation in each word problem. Name Teacher 1) You would like to purchase both strawberries and cherries for the toppings of an ice cream sunda. Strawberries are $.5 per pound and cherries are $ per pound. You must spend at least $5. Period ) Jerr loves nuts. He is going to bu walnuts for $ per pound and cashews for $ per pound. Jerr has onl $0 to spend on nuts. 3) You need to transport less than 5 people. Busses hold 35 people and vans carr 1 people. ) Bristol likes fruit and wants to spend more than $ on apples and pears. Apples cost $.79 per pound and pears cost $.19 per pound. 5) Jimmie has a maximum of hours of time to spend on gardening on Monda. It takes.5 hours to weed a section of the garden and 1 hour to pick each section of the garden. ) A parking lot can hold up to 0m. Busses take up 1m of space and cars take m of space.

2 -- Y 5501cU tkzut1al 3S9orfOtzwfaUrReF 5LeLCm.U K BADlOlK FrOitgPh9tisM IrteKsNeqrAvBewdH.d l QMhaedTe iwei3tlhx mizn5fqineitveh aaqlcgmebarqaa U3. Worksheet b Kuta Software LLC 7) A carpenter has a maximum of 0 hours of time per week to work on houses. Each room takes hours to sheet rock and 5 hours to put up the trim boards. ) An upholsterer can work hours per da. Each chair takes 1.5 hours to finish and each sofa takes hours to finish. 9) Your garden in less than 900 f t. You would like to plant beans and tomatoes. Beans take up 1.5 f t and tomatoes take up f t. ) Kim is using a PODS storage space. It is no more than 5d 3. She is packing it with large boxes (1.5 d 3 ) and small boxes (0.5d 3 ). 11) Graph the inequalit from problem # ) Graph the inequalit from problem # x x

3 -3- s Ma0Z1F0 wkkuxt0ak OSiorfptpwEaqrYeb eljlfch.p d caplalt Dri9ghNtis TrseosYe7rIvieXdD.H R LMHaddKe wji9tghe BIonftiGnpiteB PANlSgWe7bBrag PL. Worksheet b Kuta Software LLC 13) Graph the inequalit from problem #. 0 1) Graph the inequalit from problem # x x 15) Graph the inequalit from problem # ) From our graph in #11, find 1 point that is a x 17) From our graph in #1, find 1 point that is a 1) From our graph in #13, find 1 point that is a

4 -- O ez0a1o ZKSuRtxaL isoopfqtzw1akrye1 LLPCO.3 z IAMlld WrFigIhVtsso NrTecsBePruvIerdU.3 9 XMwaNdoeA VwCitIhr NI1nOfi1nTictCec najlzgbecbgr zas BP.L Worksheet b Kuta Software LLC 19) From our graph in #1, find 1 point that is a 0) From our graph in #15, find 1 point that is a Define the variables. Write the objective equation. Write the sstem of constraints. 1) A farmer has 7 acres to plant in wheat and re. However, he has onl $100 to spend and each acre of wheat costs $00 to plant and each acre of re costs $0 to plant. Moreover, the farmer has to get the planting done in 1 hours and it takes an hour to plant an acre of wheat and hours to plant an acre of re. If he makes $500 per acre of wheat and $300 per acre of re how man acres of each should be planted to maximize profits? ) A gold processor has two sources of gold ore, source A and source B. In order to kep his plant running, at least three tons of ore must be processed each da from source A and B combined. Ore from source A costs $0 per ton to process, and ore from source B costs $ per ton to process. Costs must be kept to less than $0 per da. Moreover, Federal Regulations require that the amount of ore from source B cannot exceed twice the amount of ore from source A. If ore from source A ields oz. of gold per ton, and ore from source B ields 3 oz. of gold per ton, how man tons of ore from both sources must be processed each da to maximize the amount of gold extracted subject to the above constraints?

5 -5- b I0V1XU VKGuqtHaR zsrokfvtawvajrter 7LcLCm.O x XArl1 l 1r Wing1h1tsx rjezsgewrrvtezdi.a h mmca3d5eu w0it0hn OILn5fvidnNi1tNeu xaflzgedbarma3 O7.U Worksheet b Kuta Software LLC 3) A farmer has a 30 acre farm on which she plants two crops: corn and sobeans. For each acre of corn planted, her expenses are $50 and for each acre of sobeans planted, her expenses are $0. Each acre of corn requires 0 bushels of storage and ields a profit of $0; each acre of sobeans requires 0 bushels of storage and ields a profit of $90. If the total amount of storage space available is 19,00 bushels and the farmer has onl $0,000 on hand, how man acres of each crop should she plant in order to maximize her profit? ) The liquid portion of a diet is to provide at least 300 calories, 3 units of vitamin A, and 90 units of vitamin C dail. A cup of dietar drink X provides 0 calories, 1 units of vitamin A, and units of vitamin C. A cup of dietar drink Y provides 0 calories, units of vitamin A, and 30 units of vitamin C. Now, suppose that dietar drink X costs $0.1 per cup and drink Y costs $0.15 per cup. How man cups of each drink should be consumed each da to minimize the cost? 5) A fruit grower has 150 acres of land available to raise two crops, A and B. It takes one da to trim an acre of crop A and two das to trim an acre of crop B, and there are 0 das per ear available for trimming. It takes 0.3 da to pick an acre of crop A and 0.1 da to pick an acre of crop B, and there are 30 das per ear available for picking. Find the number of acres of each fruit that should be planted to maximize profit, assuming that the profit is $10 per acre for crop A and $35 per acre for crop B. ) A farming cooperative mixes two brands of cattle feed. Brand X costs $5 per bag and contains units of nutritional element A, units of element B, and units of element C. Brand Y costs $0 per bag and contains 1 unit of nutritional element A, 9 units of element B, and 3 units of element C. Find the number of bags of each brand that should be mixed to produce a mixture having a minimum cost per bag. The minimum requirements of nutrients A, B, and C are 1 units, 3 units, and units, respectivel.

6 E Pm0B11 fksuttrat VSSoZfNtwTaIrjeX MLILvCx.M P AAGldlk Nr9irgBhNtGs5 xrlelsbearmvte9dk.z 5 GMQaMdeo xwmibtahx li BnzfsiXnXivtHem SA9l9goeaburLaF uc.k -- Worksheet b Kuta Software LLC Answers to Target 1. Retest Worksheet 1).5S + C 5 ) W + C 0 3) 35B + 1V < 5 ).79A +.19P > 5) 0.5W + P ) 1B + C 0 7) S + 5T 0 ) 1.5C + S 9) 1.5B + T < 900 ) 1.5L + 0.5S 5 11) 1) 13) 0 x 1) ) x x x x 1) (, 1) which means pounds of walnuts and 1 pound of cashews. 17) (1, 3) which means 1 hour weeking and 3 hours picking the garden. 1) (, ) which means busses and cars. 19) (00, 50) which means 00 bean plants and 50 tomato plants. 0) (, 0) which means large boxes and 0 small boxes. 1) DEFINE VARIABLES: W = # of acres of wheat, R = # of acres of re, OBJECTIVE: P = 500W + 300R, CONSTRAINTS: W + R 7, 00W + 0R 100, W + R 1 ) DEFINE VARIABLES: A = amount of gold from source A, B = amount of gold from source B, OBJECTIVE: G = A + 3B, CONSTRAINTS: A + B 3, 0A + B 0, B A 3) DEFINE VARIABLES: C = # of acres of corn planted, S = # of acres of sobeans planted, OBJECTIVE: P = 0C + 90S, CONSTRAINTS: C + S 30, 50C + 0S 0000, 0C + 0S 1900 ) DEFINE VARIABLES: X = # of cups of drink X, Y = # of cups of drink Y, OBJECTIVE: C = 0.1X Y, CONSTRAINTS: 0X + 0Y 300, 1X + Y 3, X + 30Y 90 5) DEFINE VARIABLES: A = # of acres of fruit A, B = # of acres of fruit B, OBJECTIVE: P = 10A + 35B, CONSTRAINTS: A + B 0, 0.3A + 0.1B 30, A + B 150 ) DEFINE VARIABLES: X = # of bags of brand X, Y = # of bags of brand Y, OBJECTIVE: C = 5X + 0Y, CONSTRAINTS: X + Y 1, X + 9Y 3, X + 3Y