T-shirt profits A clothing company makes a profit of $10

Chapter 12, Problem 83E

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QUESTION:

T-shirt profits  A clothing company makes a profit of $10 on its long-sleeved T-shirts and $5 on its short-sleeved T-shirts.

Assuming there is a $200 setup cost, the profit on T-shirt sales is z=10x+5y-200, where x is the number of long-sleeved T-shirts sold and y is the number of short-sleeved T-shirts sold. Assume x and y are nonnegative.

(a) Graph the plane that gives the profit using the window [0,40] \(\times\) [0,40] \(\times\) [-400,400].

(b) If x=20 and y=10, is the profit positive or negative?

(c) Describe the values of x and y for which the company breaks even (for which the profit is zero). Mark this set on your graph.

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QUESTION:

T-shirt profits  A clothing company makes a profit of $10 on its long-sleeved T-shirts and $5 on its short-sleeved T-shirts.

Assuming there is a $200 setup cost, the profit on T-shirt sales is z=10x+5y-200, where x is the number of long-sleeved T-shirts sold and y is the number of short-sleeved T-shirts sold. Assume x and y are nonnegative.

(a) Graph the plane that gives the profit using the window [0,40] \(\times\) [0,40] \(\times\) [-400,400].

(b) If x=20 and y=10, is the profit positive or negative?

(c) Describe the values of x and y for which the company breaks even (for which the profit is zero). Mark this set on your graph.

ANSWER:

Problem 1EGive two pieces of information which, taken together, uniquely determine a plane.Step-by-step solutionStep 1 of 1 ________________Problem 2EFind a vector normal to the plane 2x 3y + 4z = 12.Step-by-step solutionStep 1 of 2

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