A local company makes pigments used to color fabrics, plastics and paints. To ensure the finished product matches the customer's expectations, pigments of varying strength are blended to obtain what is called a "100% strength" commercial standard. The plant has 5000 pounds of Pigment Red 1 with strength of 123% of the standard, and they also have 17,890 pounds of Pigment Red 1 at 87% strength versus the same commercial standard.

How much of the 87% material is needed to blend with the 5000 pounds of the 123% material so that the final strength of the blended material is 100% strength.

How much of the low strength material is needed to mix with a known amount of high strength pigment, sometimes its how much high to blend with some low.

Solution Preview

To solve this problem, you need to set up a basic equation or formula. For this formula, we will label Pigment Red 1 with 123% strength as "s" for strong and Pigment Red 1 with 87% strength as "w" for weak.

The problem wants to balance out the strength of s with the weakness of w to make a mixture with 100% strength.

To account for the strength of the pigments, ...

Solution Summary

This problem includes an explanation of how to convert a word problem into a single variable equation. This equation is then solved to find the value of an unknown.

... that he is really a 90+ performer but this sample just happened ... b) State the formula for the ... statistic and show your decision rule using the 1 percent level of ...

... output given below, find a 95 percent confidence interval ... For each of the following sample results, determine ... Write the regression equation for the LaborCost (y ...

... ll sample of IPOs? ... Degree Operating Leverage FORMULA. c. Confirm that the percentage change in profits equals DOL times the percentage change in sales. ...

... and appropriate formula in the answer cell) Use the CAPM equation Required return ... EXAMPLE #15: A stock has produced returns of 14.6 percent, 5.3 percent...

... a 98 percent confidence interval for the population mean μ. This is a large sample 98% confidence interval for a population mean. The formula for the ...

... For example, Dr. Derrick Jelliffe, then the director of the ... to the bad publicity, manufacturers of infant formula representing about 75 percent of the ...

...Example: Find the empirical and molecular formula for a compound that has the following percent composition: 40.0% C 6.72% H 53.29% O. The molecular weight is ...

... b) 99 percent confident that is within a margin of error of 5 pounds of µ. N=_35__ trial runs Workings The minimum sample size is given by the formula Given ...

... two samples have an identical winning percentages, one is ... Explain why the two samples lead to different ... Formula for the calculation and Interpretations of the ...