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- 1. Fill in the Blank
Solve by the elimination method.
2x + y = 7
4x + 6y = 12
- 2. Fill in the Blank
Write the Systems of Equations as a Matrix & Solve.
3x + 2y + 5z = 20
7x + 4y + 6z = 15
4x + 5y + 9z = 10
- 3. Fill in the Blank
What is 3A-6B?
A= 7x+5y-3z=16 B= x-3y-3z=-4
3x-5y+2z=-8 2x-3y-z=15
3x+3y-7z=0 4x-3y-z=19
- 4. Fill in the Blank
A baseball team sells tickets that cost $5, $10, or $15. The team has sold 5000 tickets overall. It has 200 more $10 tickets than $5 tickets. The total sales are $60,500. How many tickets of each kind have been sold?
- 5. Fill in the Blank
A person plans to invest a total of $250,000 in a money market account, a bond fund, an international stock fund, and a domestic stock. She wants 60% of her investment to be conservative (money market and bonds ). She wants the amount in domestic stocks to be 4 times the amount in international stocks. Finally, she needs an annual return of $10,000. Assuming she gets an annual return of 2.5% on the money market account, 3.5% on the bond fund, 4% on the international stock fund, and 6% on the domestic stock fund, how much should she put in each investment?
- 6. Fill in the Blank
The U-Drive Rent-A-Truck company plans to spend $14 million on 260 new vehicles. Each commercial van will cost $45,000, each small truck $70,000, and each large truck $60,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy? Vans?, Small trucks?, and large trucks?
- 7. DrawBackground image
- 8. Draw
Graph the feasible region and find the minimum value. Z=2x+3y X+Y≤12, 2x+3y≥6, x≥0, y≥0
Background image - 9. Draw
Graph the feasible region for the system of inequalities. 2x+y<3, 2x−y<9
Background image - 10. Multiple Choice
Maddy owns a bakery where she sells sugar and chocolate chip cookies. Maddy sold sugar cookies for $3 and chocolate chip cookies for $3.50. She only has enough time to bake 300 cookies a day. Which of the following could be one of Maddy's constraints?
s+c≤300
3s+3.50c<300
3s+3.50c≤300
3s+3.50c≥300
- 11. Multiple Choice
Stock in Company A sells for $87 a share and has a 3-year average annual return of $24 a share. The beta value is 1.07. Stock in Company B sells for $82 a share and has a 3-Year average annual return of $15 a share. The beta value is 1.26. Derek wants to spend no more than $14,000 investing in these two stocks, but he wants to earn at least $2,200 in annual revenue. Derek also wants to minimize the risk. Determine the number of shares of each stock that Derek should buy. Finish setting up the linear programming problem.
(1) ____ z=
(2) 87a+82b___ ___
(3) 24a +15b ___ ___
a≥0, b≥0
Derek should buy ___ share(s) of stock in Company A and ___ share(s) in Company B. (whole numbers)
Minimize
≤
≥
Maximize
≤
≥
Minimize
≥
≤
Maximize
≥
≤
- 12. Fill in the Blank
George is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 3 hours when he replaces the brakes. He works no more than 45 hours a week. He routinely completes at least 6 shock replacements and 2 brake replacements a week. If he charges $300 for labor replacing shocks and $400 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income?
George should do ___shock replacements and ___brake replacements every week to maximize his weekly income.
- Answer choicesTagsAnswer choicesTags