Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the
1 answer:
Answer:
a) ME= 1.93
b) confidence interval= (19.59,23.45)
Explanation:
a) Sample of customers is 64, population standard deviation is 6 and confidence level is 99%
Sample mean= 21.52
Sample size= 64
Confidence level= 99%
Population standard deviation= 6
Standard error of the mean= 0.75
Z-value= -2.5758 (From Z table)
Interval half width= 1.9319
Margin of error at 99% confidence interval is 1.93 from the output.
b) Confidence interval
Interval upper limit= 19.59
Interval lower limit= 23.45
99% confidence interval is (19.59, 23.45) from the output.
ME= = 1.93
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Answer:
Check the explanation
Explanation:
Let the binary variables be: x1,x2,x3.....x10. If x1=0, no amount is invested in fund 1 and if it is 1 it means that an amount is invested. Let y1,y2.....y 10 be the variables for the amount invested.
Kindly check the first attached image for the table.
The objective is to maximize the return. Hence our objective function is: 6.7%*y1+7.65%*y2+7.55%*y3+7.45%*y4+7.5%*y5+6.45%*y6+7.05%*y7+6.9%*y8+5.2%*y9+5.9%*y10. This has to be maximized.
Constraints:
(i) y1,y2.....y10<=25,000 (no more than $25,000 can be invested in any one fund)
(ii) If x1=1, y1>=10,000, 0. This what if formula will be applicable for all the variables. (If a fund is chosen for investment, then at least $10,000 will be invested in it).
(iii) x1+x2+x3+x4<=2 (No more than two of the funds can be pure growth funds)
(iv) y9+y10>=y1+y2+y3+y4 (at least as much as the amount invested in pure amount invested in pure bond funds must be at least as much as the amount invested in pure growth funds)
(v) all x's are binary and all y's>=0. (vi) y1+y2+y3+y4....y10 = 100,000 (amount to be invested)
Solving in excel using the solver function the following solution is obtained:
Kindly check the second attached image for the table.
Thus the maximum return = $7056.25
Amount invested in different funds are:
Kindly check the Third attached image for the table.
