Wednesday

July 30, 2014

July 30, 2014

Posted by **Michelle** on Wednesday, May 25, 2011 at 9:12pm.

handcrafted knick-knacks from the same sort of wood. The hardwood

usage in the two lines of product are

Yard Furniture: Y = 2 Ty - .001Ty2

Knick-knacks: Z = 20Tz - .01 Tz

2

where Y and Z are units of furniture and knick-knacks respectively. Ty and

Tz are the amounts of hardwood used in Y and Z production respectively.

Yard furniture can be sold at a profit (i.e., net of costs) of $100 per unit and

knick-knacks can be sold at a profit of $25 per unit. Sleak Teak has 1300

units of hardwood available that can be allocated between these two lines

of production.

(a) Using the Lagrangean Multiplier method, determine how should the

hardwood be allocated between the two lines of product so that total

profit can be maximized. Also calculate the optimal amounts of Y

and Z and total profit from each product line.

(b) Using Excel Solver verify your answers to (a) above.

(Show your work.)

**Related Questions**

Socials - What does Serial format mean? It means--in weekly of monthly ...

Business Math - Please Help is Possible! - Import exclusives Ltd. received an ...

Business Math - Import exclusives Ltd. received an invoice dated June 28 from ...

maths - if two interior angles on the same side of a transversal intersecting ...

English Grammar - 1. book shop / bookshop 2. book store / bookstore Are both ...

Arithmetic/Math - Sarah uses balsa wood to build airplane models. After ...

math - Carl has three lengths of cable, 5/6 yard long, 1/4 yard long, and 2/3 ...

Algebra B (probability) - I just don't understand how to do this... A kidney-...

English - 1. He is try to hit a piece of wood with an axe to cut it. (Is this ...

Math - Carl has three lengths of cable,5/6 yard long,1/4 yard long and 2/3 yard...