Holooly Plus Logo
Holooly Plus Logo

Question 19.5: A refinery processes two crude oils that have the yields sho...

A refinery processes two crude oils that have the yields shown in the table below. Because of equipment and storage limitations, production of gasoline, kerosene, and fuel oil must be limited as shown below. There are no plant limitations on the production of other products such as gas oils. The profit on processing crude No. 1 is \$ 3.00 / bbl, and on crude No. 2 it is \$ 2.00 / bbl. Find the optimum daily feed rates of the two crudes to this plant via linear programming using the Excel Solver.

Yields (Volume %)

Crude No. 1 Crude No. 2 Maximum Allowable Production Rate (bbl/day)
Gasoline 70 41 6,000
Kerosene 6 9 2,400
Fuel oil 24 50 12,000
The "Step-by-Step Explanation" refers to a detailed and sequential breakdown of the solution or reasoning behind the answer. This comprehensive explanation walks through each step of the answer, offering you clarity and understanding.
Our explanations are based on the best information we have, but they may not always be right or fit every situation.
The Blue Check Mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

This Question has been Answered.

Subscribe

Already have an account?

Login

Related Answered Questions

A dynamic model of a continuous-flow, biological chemostat has the form Ẋ = 0.063C − Dx Ċ = 0.9S [X − C] − 0.7C − DC Ṡ = −0.9S [X − C] + D [10 − S] where X is the biomass concentration, S is the substrate concentration, and C is a metabolic intermediate concentration. The dilution rate, D, is an

Verified Answer:
Assuming steady state behavior, the optimization p...

A batch reactor converts component A into B, which in turn decomposes into C: k1 k2 A → B → C where k1 = k10e^−E1/RT and k2 = k20e^−E2/RT. The concentrations of A and B are denoted by x1 and x2, respectively. The reactor model is dx1/dt = −k10x1e^−E1/RT dx2/dt = k10x1e^−E1/RT − k20x2e^−E2/RT Thus,

Verified Answer:
The reactor equations are: \frac{d x_{1}}{d...

A reversible chemical reaction, A ⇄ B, occurs in the isothermal continuous stirred-tank reactor shown in Fig. E19.14. The rate expressions for the forward and reverse reactions are r1 = k1CA r2 = k2CB where the rate constants have the following temperature dependence: k1 = 3.0 × 10^6 exp(−5000∕T)

Verified Answer:
Material balance: Overall :\quad F_{A}+F_{B...

reversible chemical reaction, A ⇄ B, occurs in the isothermal continuous stirred-tank reactor shown in Fig. E19.14. The rate expressions for the forward and reverse reactions are r1 = k1CA r2 = k2CB For the information given below, use a numerical search procedure to determine the value of FB (L/h)

Verified Answer:
Material balance: Overall : \quad F_{A}+F_{...

Supervisory control often involves the optimization of set points in order to maximize profit. Can the same results be achieved by optimizing PID controller tuning (Kc, τI, τD), in order to maximize profits? Are regulatory (feedback) control and supervisory control complementary?

Verified Answer:
PID controller parameters are usually obtained by ...

A specialty chemicals facility manufactures two products and B in barrels. Products A and B utilize the same raw material; A uses 120 kg/bbl, while B requires 100 kg/bbl. There is an upper limit on the raw material supply of 9000 kg/day. Another constraint is warehouse storage space (40 m^2 total;

Verified Answer:
Let x_{A} be bbl/day of A produced ...

A brewery has the capability of producing a range of beers by blending existing stocks. Two beers (suds and premium) are currently available, with alcohol concentrations (by volume) of 3.0% for suds and 6.0% for premium. The manufacturing cost for suds is $0.30/gal, and for premium it is $0.40/gal.

Verified Answer:
Let x_{1} be gallons of suds blende...

Optimization methods can be used to fit equations to data. Parameter estimation involves the calculation of unknown parameters that minimize the squared error between data and the proposed mathematical model. The step response of an overdamped second-order dynamic process can be described using the

Verified Answer:
By using Excel-Solver: \tau_{1}[/latex...

Reconciliation of inaccurate process measurements is an important problem in process control that can be solved using optimization techniques. The flow rates of streams B and C have been measured three times during the current shift (shown in Fig. E19.7). Some errors in the measurement devices

Verified Answer:
The objective is to minimize the sum of the square...

Linear programming is to be used to optimize the operation of the solvent splitter column shown in Fig. E19.6. The feed is naphtha, which has a value of $40/bbl in its alternate use as a gasoline blending stock. The light ends sell at $50/bbl, while the bottoms are passed through a second

Verified Answer:
Objective function is to maximize the revenue, [la...