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a carpenter makes two types of chairs for a school. To make type A chairs it takes 6 man hours and 4 man hours for type B. The cost of material for type A is sh 120 and that of type B is sh100. The profit on type A is sh80 and that of type B is sh60. The carpenter has to abide to the following conditions:
i) A contract to supply 15 of type A and 10 of type B per week has to be fulfilled
ii) Only 300 man hours are available a week
iii) Total weekly cost of material for all chairs should not exceed sh6000 if type A and B chairs were x and y respectively
a) Write down the inequalities satisfying these conditions
b) What values of x and y will give maximum profit
Determine the probability of each option being preferred by the company's cardholders.
A pig rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. He has 420 feet of fencing available to complete the job. What is the largest possible total area of the four pe..
A man wishes to construct a cylindrical barrel with a capacity of 1087r ft3. The cost per square foot of the material for the side of the barrel is half that of the cost per square foot for the top and bottom. Help him find the dimensions of the barr..
If I double the amount of water in the cup do I also doubled the pH of the water in the cup?
If you randomly select one butterfly from the table above, what is the probability of selecting a red butterfly or one collected in spring? Explain the addition rule.
A guy wire to the top of a tower makes an angle of 63 degrees with the level ground. At a point 34 feet farther from the base of the tower and in line with the base of the wire, the angle of elevation to the top of the tower is 22 degrees. What is..
carolyn and kim are selling lemonade this summer. it cost .10 to make each cup of lemonade.they are going to sell each cup of lemonade for .25. what is the least number of cups of lemonade they need to collect $10 more than they spent?
the suppliers price for a set of tile is $7. let x represent the number of tile sets. if b represents the fixed cost, what value would represent b?
Determine if the function f(x) = 3x + x^2/3 (2 - x)^1/3 satisfies the hypotheses of the MVT on the interval [0, 2]. If it does, find all possible values of c that satisfy the conclusion of the MVT. (MVT is Mean value theorem)
Explain in simple terms how solving linear equations is similar and different than solving linear inequalities. Cite and explain three examples.
Find the equation of the plane through the point P=(2,2,2) and parallel to the plane Acˆ'(4x+5y+5z)=9. An implicit equation for the plane passing through the points (1,2,3), (Acˆ'4,7,4), and (Acˆ'3,Acˆ'2,Acˆ'1) is.
calculate the future value of an annuity with $500 payment per month invested at 5% compounded monthly after 12 years.
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