The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and 1/2 hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 30 per day, and the maximum number of painting hours available is 9 per day. (a) Write the system of inequalities that describes the constraints on the number of each type of wood chipper produced. (Let x represent the number of deluxe models, and let y represent the number of economy models.)

3x + 2y ≤ 30

0.5x + y ≤ 9

Step-by-step explanation:

Number of deluxe model = x

Number of economy models = y

Assembly hours :

Maximum hours = 30

Deluxe model = 3 hours

Economy model = 2 hours

3x + 2y ≤ 30

Painting :

Maximum hours = 9

Deluxe model = 1/2 = 0.5 hours

Economy model = 1 hours

0.5x + y ≤ 9

Therefore the inequality constraints are:

3x + 2y ≤ 30

0.5x + y ≤ 9

the answer is 175.4379

step-by-step explanation:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.