Answer:
minimum cost is 15.51 cent
Explanation:
given data
volume = 500 cubic centimeter
side cost = 0.04 cents per square centimeter
top costing = 0.07 cents per square centimeter
to find out
minimize production cost
solution
first we find the volume that is
volume = π×r²×h
so here put value and find h in r form
500 = π×r²×h
h = 500 / π×r² ...................a
so cost of packing will be
cost = area of side + volume side + volume top
cost = 2π×r×h×0.04 + π×r²×0.04 + π×r²×0.07
here h from equation a
cost = 2π×r× (500 / π×r²)×0.04 + π×r²×0.04 + π×r²×0.07
cost = 40 /r + 0.346×r² ......................b
for minimum put it equal zero and differentiate it
-40 /r² + 0.691 × r = 0
r = 3.86
so from equation a
h = 500 / π×r²
h = 500 / π×3.86²
h = 10.63 cm
so total cost will be by equation b
cost = 40 /3.86 + 0.346×3.86²
cost = 15.51 cent
Answer:
All of a company's indirect and direct costs associated with providing a service or producing a product are referred to as production costs. Raw materials, labor, general overhead, and consumable manufacturing supplies can all be included in production costs.
Explanation:
The computation is attached below in form of snips, kindly follow the steps. The total production cost dimensions that will minimize the package is 15.51 cent.
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