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tresset_1 [31]
3 years ago
15

Consider the smoothie example given in class: Write down the production function of Tutti Frutti Smoothie example given in class

. Make sure that all ingredients are expressed in Oz. Identify the returns to scale of this production function. Is it decreasing, increasing, or constant returns to scale?
Engineering
1 answer:
mart [117]3 years ago
6 0

Answer:

Production Function : TFSq = f { ingredient 1 ...... ing. i }

Increasing/ Constant/  Increasing Returns to Scale :

Output change > / = / < Input change respectively

Explanation:

Production Function is the relationship between production inputs & outputs, given technology. It denotes the maximum output that can be generated with given inputs.

Tutti Frutti Smoothie [TFS] quantity = Function of {Ingredient1.....ingredient i}

Returns to Scale represents change in output when all inputs change in same proportion.

  • Constant Returns to Scale [CRS] : Output Change = All inputs change
  • Increasing Returns to Scale [IRS] : Output Change > All inputs change
  • Negative Returns to Scale [NRS] : Output Change < All inputs change

When all inputs (ingredients) change by same proportion i.e get twice 2X :- If output of Tutti Frutti Smoothie increases by > 2X  i.e 3X - IRS.  If it increases equal ie 2X - CRS. If it increases lesser i.e 1.5X - CRS.

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Answer:

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In ancient Mesopotamia and Egypt, one of the first standard measures of length used was the cubit. In Egypt, the royal cubit, which was used to build the most important structures, was based on the length of the pharaoh’s arm from elbow to the end of the middle finger plus the span of his hand. Because of its great importance, the royal cubit was standardized using rods made from granite. These granite cubits were further subdivided into shorter lengths reminiscent of centimeters and millimeters.

piece of black rock with white Egyptian markings

Fragment of a Cubit Measuring Rod

Credit: Gift of Dr. and Mrs. Thomas H. Foulds, 1925

Later length measurements used by the Romans (who had taken them from the Greeks, who had taken them from the Babylonians and Egyptians) and passed on into Europe generally were based on the length of the human foot or walking and multiples and subdivisions of that. For example, the pace—one left step plus one right step—is approximately a meter or yard. (On the other hand, the yard did not derive from a pace but from, among other things, the length of King Henry I of England’s outstretched arm.) Mille passus in Latin, or 1,000 paces, is where the English word “mile” comes from.

And thus, the meter has and likely will remain so elegantly defined in these terms for the foreseeable future.

Explanation:

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A steam power plant is represented as a heat engine operating between two thermal reservoirs at 800 K and 300 K. The temperature
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A fully braced structural member in a building is subjected to several different loads, including roof loads of D = 5 k and L_r
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Explanation:

See attachment

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3 years ago
A well-insulated, rigid tank has a volume of 1 m3and is initially evacuated. A valve is opened,and the surrounding air enters at
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Volume of tank = 1 m³

Pressure of air entering tank = 1 bar

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Temperature after heating  = 477 °C = 750.15 K

V₂ = 1 m³

P₁V₁/T₁ = P₂V₂/T₂

P₁ = P₂

V₁ = T₁×V₂/T₂ = 300.15 * 1 /750.15 = 0.4 m³

dQ = m \times c_p \times (T_2 -T_1)

For ideal gas, c_p = 5/2×R = 5/2*0.287 = 0.7175 kJ

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The average mass of one mole of air = 28.8 g

Therefore, the total mass = 28.8*16.05 = 462.135 g = 0.46 kg

∴ dQ = 0.46*0.7175*(750.15 - 300.15) = 149.211 kJ

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Answer:

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