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Radda [10]
3 years ago
12

Light Manufacturers produces energy-efficient light bulbs. In one 8-hour shift, they incur the following costs to make 4,000 lig

ht bulbs: Use 250 lbs. of glass for a total cost of $1,016. Use 500 lbs. of coal to keep the fire going to melt and shape glass for a total cost of $1,280. Use 8,000 filaments for a total cost of $1,120. Use 4,800 feet of wire for a total cost of $156. Use 4,000 light bulb bases for a total cost of $1,480. Use 128 man-hours for a total cost of $2,500. What are the direct material costs for making one light bulb?
A) $0.943.
B) $0.904.
C) $1.224.
D) $1.263.
Mathematics
1 answer:
olga55 [171]3 years ago
8 0

Answer:

The correct option is D) $1.263.

Step-by-step explanation:

Consider the provided information.

Direct materials is  a product cost.

First calculate the direct material cost as shown:

Direct material cost = Glass cost + Shape glass cost + Filament cost + Wire cost + Bulb bases cost

Direct material cost = $1,016+$1,280+$1,120+$156+$2,500

Direct material cost = $5,052

Now we need to find the direct material costs for making one light bulb.

Since they are making 4,000 light bulbs so divide the Direct material cost with the number of bulbs gives the direct material cost of one bulb.

Direct material costs of one light bulb =\frac{\$5052}{4000} =\$1.263

Hence, the correct option is D) $1.263.

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Bob makes three different silverware - spoons, forks and knives. Each unit (dozen) of spoon gives him a profit of $9, forks of $
Gala2k [10]

Answer:

Solution is:

z  (max) = 687.5

x₁   =  0

x₂   = 16

x₃   = 21

Step-by-step explanation:

From the problem statement we have:

Resources:      machine time ( 183 h)      labor (250  h)   steel  185 (pounds)

Unit

Spoons                          4                                     4                          3

forks                               4                                     9                          2

knives5                          5                                     5                          4

Profit $                           9                                    20                       17.5

Objective function z =  9*x₁  +  20*x₂  + 17.5 *x₃   to maximize

Subject to:

Availability of machine time  :  183 h

4*x₁  +  4*x₂ +   5*x₃ ≤  183

Availability of labor  :  250 h

4*x₁  +  9*x₂  +  5*x₃  ≤  250

Availability of steel  :  185 pounds

3*x₁  +  2*x₂  +  4*x₃  ≤  185

Requirement:

x₂ ≥ 16

General constraints:

x₁  ≥ 0             x₃      ≥  0 all integers

After 6 iteration the solution using AtomZmath on-line solver

z  (max) = 687.5

x₁   =  0

x₂   = 16

x₃   = 21

Resources used:

Machine time: 16* 4 + 21*5  =  64  +  105  = 169

remains   183 - 169  = 14 h

Labor:  16*9  +  21* 5  =  144  +  105  =  249

remains   250 -  249  =  1 h

Steel :  16*2  +  21*4  =  32  + 84  =  116

remains   185  -  116  = 69 pounds.

If it is decided that 20 units of forks are to be made then

we will need   4*4 = 16   h of machine time

                         9*4 =  36 h  of labor

                         2*4 = 8 pounds of steel

We can get that from abandom to make one unit of x₃ ??

No because as we said we need 36 hours  of  labor ( we still have 1 we need 35 more hours ) if we make 20 x₃ insted of 21 we get only 5 hours.

z we got is maximum

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Answer:

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Step-by-step explanation:

rectangle = 15.5 times 10 =155

tryangle 1 = 4.75 times 10 divided by 2=23.75

tryangle 2 = 23.75

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Answer:

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Step-by-step explanation:

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